100142729181 has 18 divisors (see below), whose sum is σ = 158996125470. Its totient is φ = 60692562480.

The previous prime is 100142729179. The next prime is 100142729233. The reversal of 100142729181 is 181927241001.

It can be written as a sum of positive squares in only one way, i.e., 52677135225 + 47465593956 = 229515^2 + 217866^2 .

It is not a de Polignac number, because 100142729181 - 2¹ = 100142729179 is a prime.

It is a super-2 number, since 2×100142729181² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142729131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45978126 + ... + 45980303.

Almost surely, 2^100142729181 is an apocalyptic number.

100142729181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100142729181 is a deficient number, since it is larger than the sum of its proper divisors (58853396289).

100142729181 is a wasteful number, since it uses less digits than its factorization.

100142729181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91958457 (or 91958443 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 100142729181 in words is "one hundred billion, one hundred forty-two million, seven hundred twenty-nine thousand, one hundred eighty-one".