10100101012931 has 2 divisors, whose sum is σ = 10100101012932. Its totient is φ = 10100101012930.

The previous prime is 10100101012921. The next prime is 10100101012943. The reversal of 10100101012931 is 13921010100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100101012931 - 2⁴² = 5702054501827 is a prime.

It is a super-3 number, since 3×10100101012931³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10100101012921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050506465 + 5050050506466.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050506466).

Almost surely, 2^{10100101012931} is an apocalyptic number.

10100101012931 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101012931 is an equidigital number, since it uses as much as digits as its factorization.

10100101012931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 10100101012931 in words is "ten trillion, one hundred billion, one hundred one million, twelve thousand, nine hundred thirty-one".