101132253001 has 32 divisors (see below), whose sum is σ = 115868309760. Its totient is φ = 87604817664.

The previous prime is 101132252987. The next prime is 101132253043. The reversal of 101132253001 is 100352231101.

It is not a de Polignac number, because 101132253001 - 2²³ = 101123864393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101132253001.

It is not an unprimeable number, because it can be changed into a prime (101132253301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2114316 + ... + 2161618.

It is an arithmetic number, because the mean of its divisors is an integer number (3620884680).

Almost surely, 2^101132253001 is an apocalyptic number.

It is an amenable number.

101132253001 is a deficient number, since it is larger than the sum of its proper divisors (14736056759).

101132253001 is a wasteful number, since it uses less digits than its factorization.

101132253001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47505.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 101132253001 its reverse (100352231101), we get a palindrome (201484484102).

The spelling of 101132253001 in words is "one hundred one billion, one hundred thirty-two million, two hundred fifty-three thousand, one".