102122000221011 has 16 divisors (see below), whose sum is σ = 136648041402528. Its totient is φ = 67838649132800.

The previous prime is 102122000220817. The next prime is 102122000221039. The reversal of 102122000221011 is 110122000221201.

It is a cyclic number.

It is not a de Polignac number, because 102122000221011 - 2³⁵ = 102087640482643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122080221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228382225 + ... + 228828941.

It is an arithmetic number, because the mean of its divisors is an integer number (8540502587658).

Almost surely, 2^{102122000221011} is an apocalyptic number.

102122000221011 is a deficient number, since it is larger than the sum of its proper divisors (34526041181517).

102122000221011 is a wasteful number, since it uses less digits than its factorization.

102122000221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718182.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122000221011 its reverse (110122000221201), we get a palindrome (212244000442212).

The spelling of 102122000221011 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one thousand, eleven".