101012201001021 has 4 divisors (see below), whose sum is σ = 134682934668032. Its totient is φ = 67341467334012.

The previous prime is 101012201001007. The next prime is 101012201001031. The reversal of 101012201001021 is 120100102210101.

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 101012201001021 - 2⁶ = 101012201000957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012201000988 and 101012201001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012201001031) 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 3 ways as a sum of consecutive naturals, for example, 16835366833501 + ... + 16835366833506.

It is an arithmetic number, because the mean of its divisors is an integer number (33670733667008).

Almost surely, 2^{101012201001021} is an apocalyptic number.

It is an amenable number.

101012201001021 is a deficient number, since it is larger than the sum of its proper divisors (33670733667011).

101012201001021 is an equidigital number, since it uses as much as digits as its factorization.

101012201001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670733667010.

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

Adding to 101012201001021 its reverse (120100102210101), we get a palindrome (221112303211122).

The spelling of 101012201001021 in words is "one hundred one trillion, twelve billion, two hundred one million, one thousand, twenty-one".