101011022002120 has 32 divisors (see below), whose sum is σ = 227332733785920. Its totient is φ = 40394109373120.

The previous prime is 101011022002117. The next prime is 101011022002211. The reversal of 101011022002120 is 21200220110101.

It is a self number, because there is not a number n which added to its sum of digits gives 101011022002120.

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, 321698236 + ... + 322012075.

It is an arithmetic number, because the mean of its divisors is an integer number (7104147930810).

Almost surely, 2^{101011022002120} is an apocalyptic number.

101011022002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011022002120 is an abundant number, since it is smaller than the sum of its proper divisors (126321711783800).

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

101011022002120 is a wasteful number, since it uses less digits than its factorization.

101011022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643714245 (or 643714241 counting only the distinct ones).

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

Adding to 101011022002120 its reverse (21200220110101), we get a palindrome (122211242112221).

The spelling of 101011022002120 in words is "one hundred one trillion, eleven billion, twenty-two million, two thousand, one hundred twenty".