100242444201131 has 16 divisors (see below), whose sum is σ = 106188776064000. Its totient is φ = 94363566939648.

The previous prime is 100242444201121. The next prime is 100242444201161. The reversal of 100242444201131 is 131102444242001.

It is a cyclic number.

It is not a de Polignac number, because 100242444201131 - 2²⁶ = 100242377092267 is a prime.

It is a super-2 number, since 2×100242444201131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100242444201094 and 100242444201103.

It is not an unprimeable number, because it can be changed into a prime (100242444201101) 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, 2997470 + ... + 14473068.

It is an arithmetic number, because the mean of its divisors is an integer number (6636798504000).

Almost surely, 2^{100242444201131} is an apocalyptic number.

100242444201131 is a deficient number, since it is larger than the sum of its proper divisors (5946331862869).

100242444201131 is a wasteful number, since it uses less digits than its factorization.

100242444201131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478538.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 100242444201131 its reverse (131102444242001), we get a palindrome (231344888443132).

The spelling of 100242444201131 in words is "one hundred trillion, two hundred forty-two billion, four hundred forty-four million, two hundred one thousand, one hundred thirty-one".