10100000101031 has 2 divisors, whose sum is σ = 10100000101032. Its totient is φ = 10100000101030.

The previous prime is 10100000101003. The next prime is 10100000101033. The reversal of 10100000101031 is 13010100000101.

It is a strong prime.

It is an emirp because it is prime and its reverse (13010100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000101031 - 2³⁸ = 9825122194087 is a prime.

It is a super-2 number, since 2×10100000101031² (a number of 27 digits) contains 22 as substring.

Together with 10100000101033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000101033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000050515 + 5050000050516.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000050516).

Almost surely, 2^{10100000101031} is an apocalyptic number.

10100000101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000101031 is an equidigital number, since it uses as much as digits as its factorization.

10100000101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100000101031 its reverse (13010100000101), we get a palindrome (23110100101132).

The spelling of 10100000101031 in words is "ten trillion, one hundred billion, one hundred one thousand, thirty-one".