102022101000100 has 36 divisors (see below), whose sum is σ = 221390903333124. Its totient is φ = 40808297697280.

The previous prime is 102022101000077. The next prime is 102022101000103. The reversal of 102022101000100 is 1000101220201.

It can be written as a sum of positive squares in 6 ways, for example, as 1400819007844 + 100621281992256 = 1183562^2 + 10031016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102022101000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815724 + ... + 14307676.

It is an arithmetic number, because the mean of its divisors is an integer number (6149747314809).

Almost surely, 2^{102022101000100} is an apocalyptic number.

102022101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022101000100 is an abundant number, since it is smaller than the sum of its proper divisors (119368802333024).

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

102022101000100 is a wasteful number, since it uses less digits than its factorization.

102022101000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13567584 (or 13567577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102022101000100 its reverse (1000101220201), we get a palindrome (103022202220301).

The spelling of 102022101000100 in words is "one hundred two trillion, twenty-two billion, one hundred one million, one hundred", and thus it is an aban number.