101011021110021 has 16 divisors (see below), whose sum is σ = 148439813594688. Its totient is φ = 60587679014400.

The previous prime is 101011021110007. The next prime is 101011021110089. The reversal of 101011021110021 is 120011120110101.

It is not a de Polignac number, because 101011021110021 - 2²⁵ = 101010987555589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011021109979 and 101011021110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011021110721) 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 15 ways as a sum of consecutive naturals, for example, 15778038210 + ... + 15778044611.

It is an arithmetic number, because the mean of its divisors is an integer number (9277488349668).

Almost surely, 2^{101011021110021} is an apocalyptic number.

101011021110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011021110021 is a deficient number, since it is larger than the sum of its proper divisors (47428792484667).

101011021110021 is a wasteful number, since it uses less digits than its factorization.

101011021110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31556082932.

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

Adding to 101011021110021 its reverse (120011120110101), we get a palindrome (221022141220122).

The spelling of 101011021110021 in words is "one hundred one trillion, eleven billion, twenty-one million, one hundred ten thousand, twenty-one".