102101200221220 has 12 divisors (see below), whose sum is σ = 214412520464604. Its totient is φ = 40840480088480.

The previous prime is 102101200221211. The next prime is 102101200221257. The reversal of 102101200221220 is 22122002101201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32108700934116 + 69992499287104 = 5666454^2 + 8366152^2 .

It is a super-2 number, since 2×102101200221220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101200221194 and 102101200221203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552530005511 + ... + 2552530005550.

It is an arithmetic number, because the mean of its divisors is an integer number (17867710038717).

Almost surely, 2^{102101200221220} is an apocalyptic number.

102101200221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101200221220 is an abundant number, since it is smaller than the sum of its proper divisors (112311320243384).

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

102101200221220 is a wasteful number, since it uses less digits than its factorization.

102101200221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105060011070 (or 5105060011068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102101200221220 its reverse (22122002101201), we get a palindrome (124223202322421).

The spelling of 102101200221220 in words is "one hundred two trillion, one hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".