102022120121985 has 40 divisors (see below), whose sum is σ = 209010396361536. Its totient is φ = 46638683483040.

The previous prime is 102022120121983. The next prime is 102022120122007. The reversal of 102022120121985 is 589121021220201.

102022120121985 is a `hidden beast` number, since 10 + 2 + 0 + 221 + 201 + 219 + 8 + 5 = 666.

It is not a de Polignac number, because 102022120121985 - 2¹ = 102022120121983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102022120121983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17993316411 + ... + 17993322080.

Almost surely, 2^{102022120121985} is an apocalyptic number.

102022120121985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102022120121985 is an abundant number, since it is smaller than the sum of its proper divisors (106988276239551).

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

102022120121985 is an equidigital number, since it uses as much as digits as its factorization.

102022120121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986638515 (or 35986638506 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 102022120121985 in words is "one hundred two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, nine hundred eighty-five".