101000979961 has 6 divisors (see below), whose sum is σ = 117490935930. Its totient is φ = 86572268496.

The previous prime is 101000979907. The next prime is 101000979973. The reversal of 101000979961 is 169979000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100619012025 + 381967936 = 317205^2 + 19544^2 .

It is not a de Polignac number, because 101000979961 - 2⁹ = 101000979449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000979901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030622196 + ... + 1030622293.

It is an arithmetic number, because the mean of its divisors is an integer number (19581822655).

Almost surely, 2^101000979961 is an apocalyptic number.

It is an amenable number.

101000979961 is a deficient number, since it is larger than the sum of its proper divisors (16489955969).

101000979961 is an equidigital number, since it uses as much as digits as its factorization.

101000979961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061244503 (or 2061244496 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 43.

The spelling of 101000979961 in words is "one hundred one billion, nine hundred seventy-nine thousand, nine hundred sixty-one".