102200000110120 has 128 divisors (see below), whose sum is σ = 266475882879360. Its totient is φ = 34863606005760.

The previous prime is 102200000110063. The next prime is 102200000110121. The reversal of 102200000110120 is 21011000002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102200000110097 and 102200000110106.

It is not an unprimeable number, because it can be changed into a prime (102200000110121) 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, 19956249 + ... + 24548968.

It is an arithmetic number, because the mean of its divisors is an integer number (2081842834995).

Almost surely, 2^{102200000110120} is an apocalyptic number.

102200000110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200000110120 is an abundant number, since it is smaller than the sum of its proper divisors (164275882769240).

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

102200000110120 is a wasteful number, since it uses less digits than its factorization.

102200000110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44505563 (or 44505559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200000110120 its reverse (21011000002201), we get a palindrome (123211000112321).

The spelling of 102200000110120 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred twenty".