102101212100020 has 96 divisors (see below), whose sum is σ = 249060195256320. Its totient is φ = 34433744146560.

The previous prime is 102101212099981. The next prime is 102101212100023. The reversal of 102101212100020 is 20001212101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101212100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394680 + ... + 14357839.

It is an arithmetic number, because the mean of its divisors is an integer number (2594377033920).

Almost surely, 2^{102101212100020} is an apocalyptic number.

102101212100020 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 102101212100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124530097628160).

102101212100020 is an abundant number, since it is smaller than the sum of its proper divisors (146958983156300).

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

102101212100020 is a wasteful number, since it uses less digits than its factorization.

102101212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753293 (or 15753291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101212100020 its reverse (20001212101201), we get a palindrome (122102424201221).

The spelling of 102101212100020 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, one hundred thousand, twenty".