100102101131 has 2 divisors, whose sum is σ = 100102101132. Its totient is φ = 100102101130.

The previous prime is 100102101109. The next prime is 100102101161. The reversal of 100102101131 is 131101201001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102101131 is a prime.

It is a super-2 number, since 2×100102101131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100102101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051050565 + 50051050566.

It is an arithmetic number, because the mean of its divisors is an integer number (50051050566).

Almost surely, 2^100102101131 is an apocalyptic number.

100102101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102101131 is an equidigital number, since it uses as much as digits as its factorization.

100102101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100102101131 its reverse (131101201001), we get a palindrome (231203302132).

The spelling of 100102101131 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred thirty-one".