100101131 has 16 divisors (see below), whose sum is σ = 111508320. Its totient is φ = 89268480.

The previous prime is 100101121. The next prime is 100101173. The reversal of 100101131 is 131101001.

It is not a de Polignac number, because 100101131 - 2¹⁰ = 100100107 is a prime.

It is a super-2 number, since 2×100101131² = 20040472854958322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57236 + ... + 58958.

It is an arithmetic number, because the mean of its divisors is an integer number (6969270).

Almost surely, 2^100101131 is an apocalyptic number.

100101131 is a deficient number, since it is larger than the sum of its proper divisors (11407189).

100101131 is a wasteful number, since it uses less digits than its factorization.

100101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886.

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

The square root of 100101131 is about 10005.0552722111. The cubic root of 100101131 is about 464.3153001513.

Adding to 100101131 its reverse (131101001), we get a palindrome (231202132).

The spelling of 100101131 in words is "one hundred million, one hundred one thousand, one hundred thirty-one".