102100122211120 has 160 divisors (see below), whose sum is σ = 262099401189696. Its totient is φ = 36679268352000.

The previous prime is 102100122211069. The next prime is 102100122211147. The reversal of 102100122211120 is 21112221001201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102100122211094 and 102100122211103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39361332 + ... + 41874988.

Almost surely, 2^{102100122211120} is an apocalyptic number.

102100122211120 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 102100122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131049700594848).

102100122211120 is an abundant number, since it is smaller than the sum of its proper divisors (159999278978576).

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

102100122211120 is a wasteful number, since it uses less digits than its factorization.

102100122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514239 (or 2514233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102100122211120 its reverse (21112221001201), we get a palindrome (123212343212321).

The spelling of 102100122211120 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".