101261511021 has 16 divisors (see below), whose sum is σ = 147294858240. Its totient is φ = 61368367920.

The previous prime is 101261510929. The next prime is 101261511083. The reversal of 101261511021 is 120115162101.

It is not a de Polignac number, because 101261511021 - 2²⁵ = 101227956589 is a prime.

It is a super-2 number, since 2×101261511021² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261711021) 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, 1522366 + ... + 1587488.

It is an arithmetic number, because the mean of its divisors is an integer number (9205928640).

Almost surely, 2^101261511021 is an apocalyptic number.

101261511021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101261511021 is a deficient number, since it is larger than the sum of its proper divisors (46033347219).

101261511021 is a wasteful number, since it uses less digits than its factorization.

101261511021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112256.

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 101261511021 its reverse (120115162101), we get a palindrome (221376673122).

The spelling of 101261511021 in words is "one hundred one billion, two hundred sixty-one million, five hundred eleven thousand, twenty-one".