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100122110200021 = 7213972687603047
BaseRepresentation
bin10110110000111101111110…
…110100000000100011010101
3111010111120200000012102000111
4112300331332310000203111
5101110400040202400041
6552535243520043021
730042404140543300
oct2660757664004325
9433446600172014
10100122110200021
11299a1604036858
12b290404163471
1343b362257ca80
141aa1d164dbb37
15b89614b54981
hex5b0f7ed008d5

100122110200021 has 48 divisors (see below), whose sum is σ = 126768138448896. Its totient is φ = 78371510805504.

The previous prime is 100122110199941. The next prime is 100122110200037. The reversal of 100122110200021 is 120002011221001.

It is not a de Polignac number, because 100122110200021 - 215 = 100122110167253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100122110199974 and 100122110200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122110260021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165725520 + ... + 166328566.

It is an arithmetic number, because the mean of its divisors is an integer number (2641002884352).

Almost surely, 2100122110200021 is an apocalyptic number.

It is an amenable number.

100122110200021 is a deficient number, since it is larger than the sum of its proper divisors (26646028248875).

100122110200021 is a wasteful number, since it uses less digits than its factorization.

100122110200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605858 (or 605851 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122110200021 its reverse (120002011221001), we get a palindrome (220124121421022).

The spelling of 100122110200021 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, two hundred thousand, twenty-one".

Divisors: 1 7 13 49 91 97 637 679 1261 2687 4753 8827 18809 34931 61789 131663 244517 260639 603047 1711619 1824473 3388307 4221329 7839611 12771311 23718149 29549303 54877277 58495559 166027043 384140939 409468913 760442267 1620387289 2866282391 5323095869 11342711023 21065034757 37261671083 79398977161 147455243299 157177567033 1032186703093 1100242969231 2043308371429 7701700784617 14303158600003 100122110200021