102020010111120 has 320 divisors, whose sum is σ = 335824589779200. Its totient is φ = 25531776958464.

The previous prime is 102020010111119. The next prime is 102020010111143. The reversal of 102020010111120 is 21111010020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102020010111096 and 102020010111105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2888185779 + ... + 2888221101.

It is an arithmetic number, because the mean of its divisors is an integer number (1049451843060).

Almost surely, 2^{102020010111120} is an apocalyptic number.

102020010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020010111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167912294889600).

102020010111120 is an abundant number, since it is smaller than the sum of its proper divisors (233804579668080).

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

102020010111120 is a wasteful number, since it uses less digits than its factorization.

102020010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37362 (or 37356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102020010111120 its reverse (21111010020201), we get a palindrome (123131020131321).

The spelling of 102020010111120 in words is "one hundred two trillion, twenty billion, ten million, one hundred eleven thousand, one hundred twenty".