101112022120101 has 16 divisors (see below), whose sum is σ = 141266205204480. Its totient is φ = 64207452275120.

The previous prime is 101112022120099. The next prime is 101112022120111. The reversal of 101112022120101 is 101021220211101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101112022120101 - 2¹ = 101112022120099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112022120111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3065656365 + ... + 3065689346.

It is an arithmetic number, because the mean of its divisors is an integer number (8829137825280).

Almost surely, 2^{101112022120101} is an apocalyptic number.

It is an amenable number.

101112022120101 is a deficient number, since it is larger than the sum of its proper divisors (40154183084379).

101112022120101 is a wasteful number, since it uses less digits than its factorization.

101112022120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131345976.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112022120101 its reverse (101021220211101), we get a palindrome (202133242331202).

The spelling of 101112022120101 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, one hundred twenty thousand, one hundred one".