102101011222221 has 72 divisors (see below), whose sum is σ = 166067442148608. Its totient is φ = 60370285852800.

The previous prime is 102101011222169. The next prime is 102101011222229. The reversal of 102101011222221 is 122222110101201.

102101011222221 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 0 + 11 + 222 + 221 = 666.

It is not a de Polignac number, because 102101011222221 - 2³⁷ = 101963572268749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101011222194 and 102101011222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101011222229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39148441 + ... + 41674961.

It is an arithmetic number, because the mean of its divisors is an integer number (2306492252064).

Almost surely, 2^{102101011222221} is an apocalyptic number.

102101011222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101011222221 is a deficient number, since it is larger than the sum of its proper divisors (63966430926387).

102101011222221 is a wasteful number, since it uses less digits than its factorization.

102101011222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527455 (or 2527441 counting only the distinct ones).

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

Adding to 102101011222221 its reverse (122222110101201), we get a palindrome (224323121323422).

The spelling of 102101011222221 in words is "one hundred two trillion, one hundred one billion, eleven million, two hundred twenty-two thousand, two hundred twenty-one".