101000022210021 has 16 divisors (see below), whose sum is σ = 146909402192448. Its totient is φ = 61212018432000.

The previous prime is 101000022210013. The next prime is 101000022210067. The reversal of 101000022210021 is 120012220000101.

It is not a de Polignac number, because 101000022210021 - 2³ = 101000022210013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000022209979 and 101000022210006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000022210091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16711615 + ... + 21938051.

It is an arithmetic number, because the mean of its divisors is an integer number (9181837637028).

Almost surely, 2^{101000022210021} is an apocalyptic number.

101000022210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000022210021 is a deficient number, since it is larger than the sum of its proper divisors (45909379982427).

101000022210021 is a wasteful number, since it uses less digits than its factorization.

101000022210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812052.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000022210021 its reverse (120012220000101), we get a palindrome (221012242210122).

The spelling of 101000022210021 in words is "one hundred one trillion, twenty-two million, two hundred ten thousand, twenty-one".