102112101202221 has 12 divisors (see below), whose sum is σ = 160903917046080. Its totient is φ = 61886121940680.

The previous prime is 102112101202217. The next prime is 102112101202259. The reversal of 102112101202221 is 122202101211201.

102112101202221 is a `hidden beast` number, since 1 + 0 + 211 + 210 + 1 + 20 + 2 + 221 = 666.

It is not a de Polignac number, because 102112101202221 - 2² = 102112101202217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112101202194 and 102112101202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112101202211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515717682741 + ... + 515717682938.

It is an arithmetic number, because the mean of its divisors is an integer number (13408659753840).

Almost surely, 2^{102112101202221} is an apocalyptic number.

102112101202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112101202221 is a deficient number, since it is larger than the sum of its proper divisors (58791815843859).

102112101202221 is a wasteful number, since it uses less digits than its factorization.

102112101202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031435365696 (or 1031435365693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112101202221 its reverse (122202101211201), we get a palindrome (224314202413422).

The spelling of 102112101202221 in words is "one hundred two trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, two hundred twenty-one".