102112210000020 has 384 divisors, whose sum is σ = 327891168202752. Its totient is φ = 23517759283200.

The previous prime is 102112209999959. The next prime is 102112210000051. The reversal of 102112210000020 is 20000012211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102112209999960 and 102112210000005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3686746812 + ... + 3686774508.

It is an arithmetic number, because the mean of its divisors is an integer number (853883250528).

Almost surely, 2^{102112210000020} is an apocalyptic number.

102112210000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112210000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163945584101376).

102112210000020 is an abundant number, since it is smaller than the sum of its proper divisors (225778958202732).

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

102112210000020 is a wasteful number, since it uses less digits than its factorization.

102112210000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31311 (or 31309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102112210000020 its reverse (20000012211201), we get a palindrome (122112222211221).

The spelling of 102112210000020 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, twenty", and thus it is an aban number.