101100300021 has 18 divisors (see below), whose sum is σ = 169876015062. Its totient is φ = 57771599760.

The previous prime is 101100300001. The next prime is 101100300023. The reversal of 101100300021 is 120003001101.

It can be written as a sum of positive squares in only one way, i.e., 101099197521 + 1102500 = 317961^2 + 1050^2 .

It is not a de Polignac number, because 101100300021 - 2¹⁸ = 101100037877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100299976 and 101100300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100300023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114625750 + ... + 114626631.

Almost surely, 2^101100300021 is an apocalyptic number.

It is an amenable number.

101100300021 is a deficient number, since it is larger than the sum of its proper divisors (68775715041).

101100300021 is a wasteful number, since it uses less digits than its factorization.

101100300021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229252401 (or 229252391 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101100300021 its reverse (120003001101), we get a palindrome (221103301122).

The spelling of 101100300021 in words is "one hundred one billion, one hundred million, three hundred thousand, twenty-one".