101121012002021 has 16 divisors (see below), whose sum is σ = 110683804734720. Its totient is φ = 91619996719680.

The previous prime is 101121012001943. The next prime is 101121012002029. The reversal of 101121012002021 is 120200210121101.

It is not a de Polignac number, because 101121012002021 - 2³⁴ = 101103832132837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121012001987 and 101121012002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121012002029) 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, 14693495 + ... + 20448491.

It is an arithmetic number, because the mean of its divisors is an integer number (6917737795920).

Almost surely, 2^{101121012002021} is an apocalyptic number.

101121012002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121012002021 is a deficient number, since it is larger than the sum of its proper divisors (9562792732699).

101121012002021 is a wasteful number, since it uses less digits than its factorization.

101121012002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760364.

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

Adding to 101121012002021 its reverse (120200210121101), we get a palindrome (221321222123122).

The spelling of 101121012002021 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, two thousand, twenty-one".