101013022032120 has 192 divisors, whose sum is σ = 370486632952800. Its totient is φ = 23643591336960.

The previous prime is 101013022032119. The next prime is 101013022032133. The reversal of 101013022032120 is 21230220310101.

101013022032120 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 302 + 20 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101013022032093 and 101013022032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439684107 + ... + 439913786.

Almost surely, 2^{101013022032120} is an apocalyptic number.

101013022032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013022032120 is an abundant number, since it is smaller than the sum of its proper divisors (269473610920680).

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

101013022032120 is a wasteful number, since it uses less digits than its factorization.

101013022032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879597950 (or 879597943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101013022032120 its reverse (21230220310101), we get a palindrome (122243242342221).

The spelling of 101013022032120 in words is "one hundred one trillion, thirteen billion, twenty-two million, thirty-two thousand, one hundred twenty".