101012444141131 has 16 divisors (see below), whose sum is σ = 105316738099200. Its totient is φ = 96816636216160.

The previous prime is 101012444141129. The next prime is 101012444141137. The reversal of 101012444141131 is 131141444210101.

It is a cyclic number.

It is not a de Polignac number, because 101012444141131 - 2¹ = 101012444141129 is a prime.

It is a super-2 number, since 2×101012444141131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012444141131.

It is not an unprimeable number, because it can be changed into a prime (101012444141137) 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, 101081431 + ... + 102075856.

It is an arithmetic number, because the mean of its divisors is an integer number (6582296131200).

Almost surely, 2^{101012444141131} is an apocalyptic number.

101012444141131 is a deficient number, since it is larger than the sum of its proper divisors (4304293958069).

101012444141131 is a wasteful number, since it uses less digits than its factorization.

101012444141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203157554.

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 101012444141131 its reverse (131141444210101), we get a palindrome (232153888351232).

The spelling of 101012444141131 in words is "one hundred one trillion, twelve billion, four hundred forty-four million, one hundred forty-one thousand, one hundred thirty-one".