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101000221012020 = 223511806811896737
BaseRepresentation
bin10110111101101111110010…
…010010111011000000110100
3111020121112020001121112021010
4112331233302102323000310
5101214241423034341040
6554450505550152220
730163011426361221
oct2675576222730064
9436545201545233
10101000221012020
112a1aaa53766730
12b3b26297b2670
134448384144a15
141ad261874a948
15ba23aa640e80
hex5bdbf24bb034

101000221012020 has 96 divisors (see below), whose sum is σ = 308513752477056. Its totient is φ = 24484585676800.

The previous prime is 101000221012013. The next prime is 101000221012039. The reversal of 101000221012020 is 20210122000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101000221011987 and 101000221012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52301092 + ... + 54197828.

It is an arithmetic number, because the mean of its divisors is an integer number (3213684921636).

Almost surely, 2101000221012020 is an apocalyptic number.

101000221012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000221012020 is an abundant number, since it is smaller than the sum of its proper divisors (207513531465036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000221012020 is a wasteful number, since it uses less digits than its factorization.

101000221012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977441 (or 1977439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000221012020 its reverse (20210122000101), we get a palindrome (121210343012121).

It can be divided in two parts, 1010002 and 21012020, that added together give a palindrome (22022022).

The spelling of 101000221012020 in words is "one hundred one trillion, two hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 80681 161362 242043 322724 403405 484086 806810 887491 968172 1210215 1613620 1774982 1896737 2420430 2662473 3549964 3793474 4437455 4840860 5324946 5690211 7586948 8874910 9483685 10649892 11380422 13312365 17749820 18967370 20864107 22760844 26624730 28451055 37934740 41728214 53249460 56902110 62592321 83456428 104320535 113804220 125184642 208641070 250369284 312961605 417282140 625923210 1251846420 153030637897 306061275794 459091913691 612122551588 765153189485 918183827382 1530306378970 1683337016867 1836367654764 2295459568455 3060612757940 3366674033734 4590919136910 5050011050601 6733348067468 8416685084335 9181838273820 10100022101202 16833370168670 20200044202404 25250055253005 33666740337340 50500110506010 101000221012020