102101000012220 has 96 divisors (see below), whose sum is σ = 314959988722176. Its totient is φ = 24506690656000.

The previous prime is 102101000012183. The next prime is 102101000012261. The reversal of 102101000012220 is 22210000101201.

It is a super-2 number, since 2×102101000012220² (a number of 29 digits) contains 22 as substring.

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 = 102101000012196 and 102101000012205.

It is a congruent number.

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, 765767424 + ... + 765900743.

It is an arithmetic number, because the mean of its divisors is an integer number (3280833215856).

Almost surely, 2^{102101000012220} is an apocalyptic number.

102101000012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101000012220 is an abundant number, since it is smaller than the sum of its proper divisors (212858988709956).

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

102101000012220 is a wasteful number, since it uses less digits than its factorization.

102101000012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531668291 (or 1531668289 counting only the distinct ones).

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

Adding to 102101000012220 its reverse (22210000101201), we get a palindrome (124311000113421).

The spelling of 102101000012220 in words is "one hundred two trillion, one hundred one billion, twelve thousand, two hundred twenty".