102100100131 has 8 divisors (see below), whose sum is σ = 108703262304. Its totient is φ = 95563301760.

The previous prime is 102100100111. The next prime is 102100100143. The reversal of 102100100131 is 131001001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100100131 - 2¹⁹ = 102099575843 is a prime.

It is a super-2 number, since 2×102100100131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100100111) 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 in 7 ways as a sum of consecutive naturals, for example, 16587775 + ... + 16593928.

It is an arithmetic number, because the mean of its divisors is an integer number (13587907788).

Almost surely, 2^102100100131 is an apocalyptic number.

102100100131 is a deficient number, since it is larger than the sum of its proper divisors (6603162173).

102100100131 is a wasteful number, since it uses less digits than its factorization.

102100100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33181901.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 102100100131 its reverse (131001001201), we get a palindrome (233101101332).

The spelling of 102100100131 in words is "one hundred two billion, one hundred million, one hundred thousand, one hundred thirty-one".