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101002100022110 = 25726112323274213
BaseRepresentation
bin10110111101110001100010…
…010010110001101101011110
3111020121201002000022010112102
4112331301202102301231132
5101214304300101201420
6554451420232005102
730163106123606600
oct2675614222615536
9436551060263472
10101002100022110
112a200828385831
12b3b2a72b30792
1344485c3509701
141ad275610d170
15ba246a5a4a75
hex5bdc624b1b5e

101002100022110 has 96 divisors (see below), whose sum is σ = 214971241129632. Its totient is φ = 34058709861120.

The previous prime is 101002100022107. The next prime is 101002100022169. The reversal of 101002100022110 is 11220001200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002100022091 and 101002100022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368197364 + ... + 368471576.

It is an arithmetic number, because the mean of its divisors is an integer number (2239283761767).

Almost surely, 2101002100022110 is an apocalyptic number.

101002100022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002100022110 is an abundant number, since it is smaller than the sum of its proper divisors (113969141107522).

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

101002100022110 is a wasteful number, since it uses less digits than its factorization.

101002100022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286618 (or 286611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002100022110 its reverse (11220001200101), we get a palindrome (112222101222211).

The spelling of 101002100022110 in words is "one hundred one trillion, two billion, one hundred million, twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 305 427 490 610 854 2135 2989 4270 5978 12323 14945 24646 29890 61615 86261 123230 172522 274213 431305 548426 603827 751703 862610 1207654 1371065 1503406 1919491 2742130 3019135 3758515 3838982 5261921 6038270 7517030 9597455 10523842 13436437 16726993 19194910 26309605 26872874 33453986 36833447 52619210 67182185 73666894 83634965 117088951 134364370 167269930 184167235 234177902 368334470 585444755 819622657 1170889510 1639245314 3379126799 4098113285 6758253598 8196226570 16895633995 23653887593 33791267990 47307775186 118269437965 165577213151 206126734739 236538875930 331154426302 412253469478 827886065755 1030633673695 1442887143173 1655772131510 2061267347390 2885774286346 7214435715865 10100210002211 14428871431730 20200420004422 50501050011055 101002100022110