10101100009979 has 8 divisors (see below), whose sum is σ = 11030591791872. Its totient is φ = 9173476555240.

The previous prime is 10101100009919. The next prime is 10101100009981. The reversal of 10101100009979 is 97990000110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101100009979 - 2²⁰ = 10101098961403 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101100009919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467070479 + ... + 467092104.

It is an arithmetic number, because the mean of its divisors is an integer number (1378823973984).

Almost surely, 2^{10101100009979} is an apocalyptic number.

10101100009979 is a deficient number, since it is larger than the sum of its proper divisors (929491781893).

10101100009979 is an equidigital number, since it uses as much as digits as its factorization.

10101100009979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934163577.

The product of its (nonzero) digits is 5103, while the sum is 38.

The spelling of 10101100009979 in words is "ten trillion, one hundred one billion, one hundred million, nine thousand, nine hundred seventy-nine".