102122000000020 has 144 divisors (see below), whose sum is σ = 293082999003648. Its totient is φ = 29381754205440.

The previous prime is 102122000000017. The next prime is 102122000000051. The reversal of 102122000000020 is 20000000221201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102121999999943 and 102122000000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364216932 + ... + 364497211.

It is an arithmetic number, because the mean of its divisors is an integer number (2035298604192).

Almost surely, 2^{102122000000020} is an apocalyptic number.

102122000000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122000000020 is an abundant number, since it is smaller than the sum of its proper divisors (190960999003628).

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

102122000000020 is a wasteful number, since it uses less digits than its factorization.

102122000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728714190 (or 728714181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102122000000020 its reverse (20000000221201), we get a palindrome (122122000221221).

The spelling of 102122000000020 in words is "one hundred two trillion, one hundred twenty-two billion, twenty", and thus it is an aban number.