101021222111121 has 24 divisors (see below), whose sum is σ = 157144677009320. Its totient is φ = 62166686858496.

The previous prime is 101021222111099. The next prime is 101021222111149. The reversal of 101021222111121 is 121111222120101.

It is a happy number.

101021222111121 is a `hidden beast` number, since 101 + 0 + 212 + 221 + 11 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21296609780625 + 79724612330496 = 4614825^2 + 8928864^2 .

It is not a de Polignac number, because 101021222111121 - 2²⁷ = 101021087893393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021222111094 and 101021222111103.

It is not an unprimeable number, because it can be changed into a prime (101021222111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35700075 + ... + 38425743.

Almost surely, 2^{101021222111121} is an apocalyptic number.

It is an amenable number.

101021222111121 is a deficient number, since it is larger than the sum of its proper divisors (56123454898199).

101021222111121 is a wasteful number, since it uses less digits than its factorization.

101021222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042465 (or 3042462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101021222111121 its reverse (121111222120101), we get a palindrome (222132444231222).

The spelling of 101021222111121 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".