102100000000220 has 48 divisors (see below), whose sum is σ = 225562828831200. Its totient is φ = 38763389817600.

The previous prime is 102100000000213. The next prime is 102100000000247. The reversal of 102100000000220 is 22000000001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100000000198 and 102100000000207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491783431 + ... + 1491851870.

It is an arithmetic number, because the mean of its divisors is an integer number (4699225600650).

Almost surely, 2^{102100000000220} is an apocalyptic number.

102100000000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100000000220 is an abundant number, since it is smaller than the sum of its proper divisors (123462828830980).

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

102100000000220 is a wasteful number, since it uses less digits than its factorization.

102100000000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983635398 (or 2983635396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102100000000220 its reverse (22000000001201), we get a palindrome (124100000001421).

The spelling of 102100000000220 in words is "one hundred two trillion, one hundred billion, two hundred twenty", and thus it is an aban number.