102220002020100 has 288 divisors, whose sum is σ = 323476768411776. Its totient is φ = 24817536000000.

The previous prime is 102220002020089. The next prime is 102220002020119. The reversal of 102220002020100 is 1020200022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31079475 + ... + 34210725.

It is an arithmetic number, because the mean of its divisors is an integer number (1123183223652).

Almost surely, 2^{102220002020100} is an apocalyptic number.

102220002020100 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 102220002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161738384205888).

102220002020100 is an abundant number, since it is smaller than the sum of its proper divisors (221256766391676).

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

102220002020100 is a wasteful number, since it uses less digits than its factorization.

102220002020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131495 (or 3131488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102220002020100 its reverse (1020200022201), we get a palindrome (103240202042301).

The spelling of 102220002020100 in words is "one hundred two trillion, two hundred twenty billion, two million, twenty thousand, one hundred".