1022202112100 has 36 divisors (see below), whose sum is σ = 2388807708084. Its totient is φ = 377428471680.

The previous prime is 1022202112067. The next prime is 1022202112133. The reversal of 1022202112100 is 12112022201.

It is an interprime number because it is at equal distance from previous prime (1022202112067) and next prime (1022202112133).

It can be written as a sum of positive squares in 6 ways, for example, as 7319144704 + 1014882967396 = 85552^2 + 1007414^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393153359 + ... + 393155958.

It is an arithmetic number, because the mean of its divisors is an integer number (66355769669).

Almost surely, 2^{1022202112100} is an apocalyptic number.

1022202112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022202112100 is an abundant number, since it is smaller than the sum of its proper divisors (1366605595984).

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

1022202112100 is a wasteful number, since it uses less digits than its factorization.

1022202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786309344 (or 786309337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022202112100 its reverse (12112022201), we get a palindrome (1034314134301).

The spelling of 1022202112100 in words is "one trillion, twenty-two billion, two hundred two million, one hundred twelve thousand, one hundred".