100210021211120 has 80 divisors (see below), whose sum is σ = 233414041399392. Its totient is φ = 40010824074240.

The previous prime is 100210021211117. The next prime is 100210021211141. The reversal of 100210021211120 is 21112120012001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100210021211120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210021211095 and 100210021211104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103995854 + ... + 104955026.

Almost surely, 2^{100210021211120} is an apocalyptic number.

100210021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210021211120 is an abundant number, since it is smaller than the sum of its proper divisors (133204020188272).

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

100210021211120 is a wasteful number, since it uses less digits than its factorization.

100210021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961570 (or 961564 counting only the distinct ones).

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

Adding to 100210021211120 its reverse (21112120012001), we get a palindrome (121322141223121).

The spelling of 100210021211120 in words is "one hundred trillion, two hundred ten billion, twenty-one million, two hundred eleven thousand, one hundred twenty".