101112021002021 has 16 divisors (see below), whose sum is σ = 102205637714880. Its totient is φ = 100019458060800.

The previous prime is 101112021002011. The next prime is 101112021002033. The reversal of 101112021002021 is 120200120211101.

It is a cyclic number.

It is not a de Polignac number, because 101112021002021 - 2¹⁰ = 101112021000997 is a prime.

It is a super-2 number, since 2×101112021002021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112021001987 and 101112021002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112021002011) 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, 4627329746 + ... + 4627351596.

It is an arithmetic number, because the mean of its divisors is an integer number (6387852357180).

Almost surely, 2^{101112021002021} is an apocalyptic number.

It is an amenable number.

101112021002021 is a deficient number, since it is larger than the sum of its proper divisors (1093616712859).

101112021002021 is a wasteful number, since it uses less digits than its factorization.

101112021002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43684.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112021002021 its reverse (120200120211101), we get a palindrome (221312141213122).

The spelling of 101112021002021 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, two thousand, twenty-one".