101100102111021 has 16 divisors (see below), whose sum is σ = 145170492293120. Its totient is φ = 62214969637440.

The previous prime is 101100102111007. The next prime is 101100102111031. The reversal of 101100102111021 is 120111201001101.

It is not a de Polignac number, because 101100102111021 - 2¹⁰ = 101100102109997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100102110988 and 101100102111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100102111031) 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, 4777186 + ... + 15000723.

It is an arithmetic number, because the mean of its divisors is an integer number (9073155768320).

Almost surely, 2^{101100102111021} is an apocalyptic number.

It is an amenable number.

101100102111021 is a deficient number, since it is larger than the sum of its proper divisors (44070390182099).

101100102111021 is a wasteful number, since it uses less digits than its factorization.

101100102111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908996.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100102111021 its reverse (120111201001101), we get a palindrome (221211303112122).

The spelling of 101100102111021 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred eleven thousand, twenty-one".