100101124302131 has 8 divisors (see below), whose sum is σ = 100173782872800. Its totient is φ = 100028468024320.

The previous prime is 100101124302119. The next prime is 100101124302139. The reversal of 100101124302131 is 131203421101001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101124302131 is a prime.

It is a super-2 number, since 2×100101124302131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101124302139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92216285 + ... + 93295473.

It is an arithmetic number, because the mean of its divisors is an integer number (12521722859100).

Almost surely, 2^{100101124302131} is an apocalyptic number.

100101124302131 is a deficient number, since it is larger than the sum of its proper divisors (72658570669).

100101124302131 is a wasteful number, since it uses less digits than its factorization.

100101124302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146429.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100101124302131 its reverse (131203421101001), we get a palindrome (231304545403132).

The spelling of 100101124302131 in words is "one hundred trillion, one hundred one billion, one hundred twenty-four million, three hundred two thousand, one hundred thirty-one".