10100000009977 has 24 divisors (see below), whose sum is σ = 10498230366624. Its totient is φ = 9716414190336.

The previous prime is 10100000009963. The next prime is 10100000009993. The reversal of 10100000009977 is 77990000000101.

It is a happy number.

It is not a de Polignac number, because 10100000009977 - 2⁴³ = 1303906987769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000009377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260807538 + ... + 260846260.

It is an arithmetic number, because the mean of its divisors is an integer number (437426265276).

Almost surely, 2^{10100000009977} is an apocalyptic number.

It is an amenable number.

10100000009977 is a deficient number, since it is larger than the sum of its proper divisors (398230356647).

10100000009977 is an equidigital number, since it uses as much as digits as its factorization.

10100000009977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39897 (or 39868 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 34.

The spelling of 10100000009977 in words is "ten trillion, one hundred billion, nine thousand, nine hundred seventy-seven".