102122000102020 has 24 divisors (see below), whose sum is σ = 221851241602200. Its totient is φ = 39440220728832.

The previous prime is 102122000101973. The next prime is 102122000102039. The reversal of 102122000102020 is 20201000221201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32007804111936 + 70114195990084 = 5657544^2 + 8373422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88036206405 + ... + 88036207564.

It is an arithmetic number, because the mean of its divisors is an integer number (9243801733425).

Almost surely, 2^{102122000102020} is an apocalyptic number.

102122000102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122000102020 is an abundant number, since it is smaller than the sum of its proper divisors (119729241500180).

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

102122000102020 is a wasteful number, since it uses less digits than its factorization.

102122000102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176072414007 (or 176072414005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102122000102020 its reverse (20201000221201), we get a palindrome (122323000323221).

The spelling of 102122000102020 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two thousand, twenty".