101102002110021 has 32 divisors (see below), whose sum is σ = 147224356513920. Its totient is φ = 61204418150400.

The previous prime is 101102002109987. The next prime is 101102002110023. The reversal of 101102002110021 is 120011200201101.

It is not a de Polignac number, because 101102002110021 - 2⁷ = 101102002109893 is a prime.

It is a super-2 number, since 2×101102002110021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102002109979 and 101102002110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102002110023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219751801 + ... + 220211393.

It is an arithmetic number, because the mean of its divisors is an integer number (4600761141060).

Almost surely, 2^{101102002110021} is an apocalyptic number.

101102002110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102002110021 is a deficient number, since it is larger than the sum of its proper divisors (46122354403899).

101102002110021 is a wasteful number, since it uses less digits than its factorization.

101102002110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467157.

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

Adding to 101102002110021 its reverse (120011200201101), we get a palindrome (221113202311122).

The spelling of 101102002110021 in words is "one hundred one trillion, one hundred two billion, two million, one hundred ten thousand, twenty-one".