101101000102021 has 6 divisors (see below), whose sum is σ = 102504917166450. Its totient is φ = 99716054889888.

The previous prime is 101101000101977. The next prime is 101101000102079. The reversal of 101101000102021 is 120201000101101.

It can be written as a sum of positive squares in 3 ways, for example, as 36270144900900 + 64830855201121 = 6022470^2 + 8051761^2 .

It is not a de Polignac number, because 101101000102021 - 2⁹ = 101101000101509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101000101989 and 101101000102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000192021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9485920746 + ... + 9485931403.

It is an arithmetic number, because the mean of its divisors is an integer number (17084152861075).

Almost surely, 2^{101101000102021} is an apocalyptic number.

It is an amenable number.

101101000102021 is a deficient number, since it is larger than the sum of its proper divisors (1403917064429).

101101000102021 is an frugal number, since it uses more digits than its factorization.

101101000102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971852295 (or 18971852222 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101000102021 its reverse (120201000101101), we get a palindrome (221302000203122).

The spelling of 101101000102021 in words is "one hundred one trillion, one hundred one billion, one hundred two thousand, twenty-one".