102101112101220 has 96 divisors (see below), whose sum is σ = 309140188374528. Its totient is φ = 25080156352512.

The previous prime is 102101112101141. The next prime is 102101112101243. The reversal of 102101112101220 is 22101211101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102101112101220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064836417 + ... + 1064932296.

It is an arithmetic number, because the mean of its divisors is an integer number (3220210295568).

Almost surely, 2^{102101112101220} is an apocalyptic number.

102101112101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101112101220 is an abundant number, since it is smaller than the sum of its proper divisors (207039076273308).

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

102101112101220 is a wasteful number, since it uses less digits than its factorization.

102101112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129768789 (or 2129768787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101112101220 its reverse (22101211101201), we get a palindrome (124202323202421).

The spelling of 102101112101220 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, one hundred one thousand, two hundred twenty".