101010506001051 has 32 divisors (see below), whose sum is σ = 136759119856128. Its totient is φ = 66302126795520.

The previous prime is 101010506001037. The next prime is 101010506001061. The reversal of 101010506001051 is 150100605010101.

It is a happy number.

It is not a de Polignac number, because 101010506001051 - 2⁵ = 101010506001019 is a prime.

It is a super-2 number, since 2×101010506001051² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101010506001061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6290737815 + ... + 6290753871.

It is an arithmetic number, because the mean of its divisors is an integer number (4273722495504).

Almost surely, 2^{101010506001051} is an apocalyptic number.

101010506001051 is a deficient number, since it is larger than the sum of its proper divisors (35748613855077).

101010506001051 is a wasteful number, since it uses less digits than its factorization.

101010506001051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29811.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 101010506001051 in words is "one hundred one trillion, ten billion, five hundred six million, one thousand, fifty-one".