102201001000020 has 192 divisors, whose sum is σ = 342431995261440. Its totient is φ = 25156069917696.

The previous prime is 102201000999997. The next prime is 102201001000093. The reversal of 102201001000020 is 20000100102201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102201000999966 and 102201001000011.

It is a congruent number.

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, 166538064 + ... + 167150616.

It is an arithmetic number, because the mean of its divisors is an integer number (1783499975320).

Almost surely, 2^{102201001000020} is an apocalyptic number.

102201001000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201001000020 is an abundant number, since it is smaller than the sum of its proper divisors (240230994261420).

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

102201001000020 is a wasteful number, since it uses less digits than its factorization.

102201001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636351 (or 636343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102201001000020 its reverse (20000100102201), we get a palindrome (122201101102221).

The spelling of 102201001000020 in words is "one hundred two trillion, two hundred one billion, one million, twenty", and thus it is an aban number.