102000110211120 has 160 divisors (see below), whose sum is σ = 346465414437120. Its totient is φ = 24618368465920.

The previous prime is 102000110211061. The next prime is 102000110211127. The reversal of 102000110211120 is 21112011000201.

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 = 102000110211096 and 102000110211105.

It is not an unprimeable number, because it can be changed into a prime (102000110211127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84502935 + ... + 85701494.

It is an arithmetic number, because the mean of its divisors is an integer number (2165408840232).

Almost surely, 2^{102000110211120} is an apocalyptic number.

102000110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000110211120 is an abundant number, since it is smaller than the sum of its proper divisors (244465304226000).

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

102000110211120 is a wasteful number, since it uses less digits than its factorization.

102000110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170204683 (or 170204677 counting only the distinct ones).

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

Adding to 102000110211120 its reverse (21112011000201), we get a palindrome (123112121211321).

The spelling of 102000110211120 in words is "one hundred two trillion, one hundred ten million, two hundred eleven thousand, one hundred twenty".