100010202122120 has 32 divisors (see below), whose sum is σ = 225040400928000. Its totient is φ = 40000979310528.

The previous prime is 100010202122081. The next prime is 100010202122147. The reversal of 100010202122120 is 21221202010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010202122095 and 100010202122104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96400664 + ... + 97432583.

It is an arithmetic number, because the mean of its divisors is an integer number (7032512529000).

Almost surely, 2^{100010202122120} is an apocalyptic number.

100010202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010202122120 is an abundant number, since it is smaller than the sum of its proper divisors (125030198805880).

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

100010202122120 is a wasteful number, since it uses less digits than its factorization.

100010202122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193846157 (or 193846153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100010202122120 its reverse (21221202010001), we get a palindrome (121231404132121).

The spelling of 100010202122120 in words is "one hundred trillion, ten billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".