101201021010021 has 4 divisors (see below), whose sum is σ = 134934694680032. Its totient is φ = 67467347340012.

The previous prime is 101201021010007. The next prime is 101201021010041. The reversal of 101201021010021 is 120010120102101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101201021010021 - 2¹⁵ = 101201020977253 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101201021009979 and 101201021010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201021010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16866836835001 + ... + 16866836835006.

It is an arithmetic number, because the mean of its divisors is an integer number (33733673670008).

Almost surely, 2^{101201021010021} is an apocalyptic number.

It is an amenable number.

101201021010021 is a deficient number, since it is larger than the sum of its proper divisors (33733673670011).

101201021010021 is an equidigital number, since it uses as much as digits as its factorization.

101201021010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33733673670010.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201021010021 its reverse (120010120102101), we get a palindrome (221211141112122).

The spelling of 101201021010021 in words is "one hundred one trillion, two hundred one billion, twenty-one million, ten thousand, twenty-one".