201000102102120 has 64 divisors (see below), whose sum is σ = 603036975467520. Its totient is φ = 53596767746304.

The previous prime is 201000102102083. The next prime is 201000102102139. The reversal of 201000102102120 is 21201201000102.

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 = 201000102102096 and 201000102102105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48947527 + ... + 52894806.

It is an arithmetic number, because the mean of its divisors is an integer number (9422452741680).

Almost surely, 2^{201000102102120} is an apocalyptic number.

201000102102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000102102120 is an abundant number, since it is smaller than the sum of its proper divisors (402036873365400).

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

201000102102120 is a wasteful number, since it uses less digits than its factorization.

201000102102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101858794 (or 101858790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000102102120 its reverse (21201201000102), we get a palindrome (222201303102222).

The spelling of 201000102102120 in words is "two hundred one trillion, one hundred two million, one hundred two thousand, one hundred twenty".