100211120102120 has 16 divisors (see below), whose sum is σ = 225475020229860. Its totient is φ = 40084448040832.

The previous prime is 100211120102089. The next prime is 100211120102131. The reversal of 100211120102120 is 21201021112001.

100211120102120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93272289586564 + 6938830515556 = 9657758^2 + 2634166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100211120102095 and 100211120102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252639001237 + ... + 1252639001316.

Almost surely, 2^{100211120102120} is an apocalyptic number.

100211120102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211120102120 is an abundant number, since it is smaller than the sum of its proper divisors (125263900127740).

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

100211120102120 is a wasteful number, since it uses less digits than its factorization.

100211120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505278002564 (or 2505278002560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211120102120 its reverse (21201021112001), we get a palindrome (121412141214121).

The spelling of 100211120102120 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty million, one hundred two thousand, one hundred twenty".