102201000020 has 96 divisors (see below), whose sum is σ = 259767502848. Its totient is φ = 33016528512.

The previous prime is 102200999983. The next prime is 102201000059. The reversal of 102201000020 is 20000102201.

It is a junction number, because it is equal to n+sod(n) for n = 102200999971 and 102201000007.

It is a congruent number.

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, 21122 + ... + 452601.

It is an arithmetic number, because the mean of its divisors is an integer number (2705911488).

Almost surely, 2^102201000020 is an apocalyptic number.

102201000020 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 102201000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129883751424).

102201000020 is an abundant number, since it is smaller than the sum of its proper divisors (157566502828).

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

102201000020 is a wasteful number, since it uses less digits than its factorization.

102201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473829 (or 473827 counting only the distinct ones).

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

Adding to 102201000020 its reverse (20000102201), we get a palindrome (122201102221).

The spelling of 102201000020 in words is "one hundred two billion, two hundred one million, twenty", and thus it is an aban number.