102022001020100 has 144 divisors (see below), whose sum is σ = 254451408317568. Its totient is φ = 34780868828160.

The previous prime is 102022001020063. The next prime is 102022001020111. The reversal of 102022001020100 is 1020100220201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90297872 + ... + 91420728.

It is an arithmetic number, because the mean of its divisors is an integer number (1767023668872).

Almost surely, 2^{102022001020100} is an apocalyptic number.

102022001020100 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 102022001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225704158784).

102022001020100 is an abundant number, since it is smaller than the sum of its proper divisors (152429407297468).

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

102022001020100 is a wasteful number, since it uses less digits than its factorization.

102022001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123614 (or 1123607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102022001020100 its reverse (1020100220201), we get a palindrome (103042101240301).

The spelling of 102022001020100 in words is "one hundred two trillion, twenty-two billion, one million, twenty thousand, one hundred".