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100101002221200 = 24352340312451221
BaseRepresentation
bin10110110000101010010100…
…101011011101011010010000
3111010102120011221210222120010
4112300222110223131122100
5101110023323032034300
6552521433210514520
730041026102642401
oct2660522453353220
9433376157728503
10100101002221200
1129993662142962
12b2882b3135a40
1343b163a48c886
141aa0cb2ddb9a8
15b88ccb9c8a50
hex5b0a94add690

100101002221200 has 120 divisors (see below), whose sum is σ = 320666430427776. Its totient is φ = 26692805312000.

The previous prime is 100101002221139. The next prime is 100101002221229. The reversal of 100101002221200 is 2122200101001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39611590 + ... + 42062810.

Almost surely, 2100101002221200 is an apocalyptic number.

100101002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101002221200 is an abundant number, since it is smaller than the sum of its proper divisors (220565428206576).

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

100101002221200 is a wasteful number, since it uses less digits than its factorization.

100101002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485273 (or 2485262 counting only the distinct ones).

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

Adding to 100101002221200 its reverse (2122200101001), we get a palindrome (102223202322201).

The spelling of 100101002221200 in words is "one hundred trillion, one hundred one billion, two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34031 68062 102093 136124 170155 204186 272248 340310 408372 510465 544496 680620 816744 850775 1020930 1361240 1633488 1701550 2041860 2451221 2552325 2722480 3403100 4083720 4902442 5104650 6806200 7353663 8167440 9804884 10209300 12256105 13612400 14707326 19609768 20418600 24512210 29414652 36768315 39219536 40837200 49024420 58829304 61280525 73536630 98048840 117658608 122561050 147073260 183841575 196097680 245122100 294146520 367683150 490244200 588293040 735366300 980488400 1470732600 2941465200 83417501851 166835003702 250252505553 333670007404 417087509255 500505011106 667340014808 834175018510 1001010022212 1251262527765 1334680029616 1668350037020 2002020044424 2085437546275 2502525055530 3336700074040 4004040088848 4170875092550 5005050111060 6256312638825 6673400148080 8341750185100 10010100222120 12512625277650 16683500370200 20020200444240 25025250555300 33367000740400 50050501110600 100101002221200