101002120110021 has 16 divisors (see below), whose sum is σ = 145028888614400. Its totient is φ = 62155063696320.

The previous prime is 101002120110019. The next prime is 101002120110181. The reversal of 101002120110021 is 120011021200101.

It is not a de Polignac number, because 101002120110021 - 2¹ = 101002120110019 is a prime.

It is a super-2 number, since 2×101002120110021² (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 = 101002120109979 and 101002120110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002120110011) 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, 36704931 + ... + 39360591.

It is an arithmetic number, because the mean of its divisors is an integer number (9064305538400).

Almost surely, 2^{101002120110021} is an apocalyptic number.

It is an amenable number.

101002120110021 is a deficient number, since it is larger than the sum of its proper divisors (44026768504379).

101002120110021 is a wasteful number, since it uses less digits than its factorization.

101002120110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630876.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002120110021 its reverse (120011021200101), we get a palindrome (221013141310122).

The spelling of 101002120110021 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred ten thousand, twenty-one".