101010133122021 has 12 divisors (see below), whose sum is σ = 147661399424448. Its totient is φ = 66528762377064.

The previous prime is 101010133122011. The next prime is 101010133122077. The reversal of 101010133122021 is 120221331010101.

101010133122021 is a `hidden beast` number, since 1 + 0 + 10 + 101 + 331 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 101010133122021 - 2⁶ = 101010133121957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010133121985 and 101010133122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010133122011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67610530125 + ... + 67610531618.

It is an arithmetic number, because the mean of its divisors is an integer number (12305116618704).

Almost surely, 2^{101010133122021} is an apocalyptic number.

It is an amenable number.

101010133122021 is a deficient number, since it is larger than the sum of its proper divisors (46651266302427).

101010133122021 is a wasteful number, since it uses less digits than its factorization.

101010133122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135221061832 (or 135221061829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101010133122021 its reverse (120221331010101), we get a palindrome (221231464132122).

The spelling of 101010133122021 in words is "one hundred one trillion, ten billion, one hundred thirty-three million, one hundred twenty-two thousand, twenty-one".