100131120101 has 4 divisors (see below), whose sum is σ = 102020386572. Its totient is φ = 98241853632.

The previous prime is 100131120083. The next prime is 100131120109. The reversal of 100131120101 is 101021131001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 73767103201 + 26364016900 = 271601^2 + 162370^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131120101 - 2²² = 100126925797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944633156 + ... + 944633261.

It is an arithmetic number, because the mean of its divisors is an integer number (25505096643).

Almost surely, 2^100131120101 is an apocalyptic number.

It is an amenable number.

100131120101 is a deficient number, since it is larger than the sum of its proper divisors (1889266471).

100131120101 is an equidigital number, since it uses as much as digits as its factorization.

100131120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889266470.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100131120101 its reverse (101021131001), we get a palindrome (201152251102).

The spelling of 100131120101 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty thousand, one hundred one".