10100001009977 has 8 divisors (see below), whose sum is σ = 10253082082752. Its totient is φ = 9946988607600.

The previous prime is 10100001009971. The next prime is 10100001010003. The reversal of 10100001009977 is 77990010000101.

It is a happy number.

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 10100001009977 - 2¹⁶ = 10100000944441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001009971) 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, 16871174 + ... + 17459567.

It is an arithmetic number, because the mean of its divisors is an integer number (1281635260344).

Almost surely, 2^{10100001009977} is an apocalyptic number.

It is an amenable number.

10100001009977 is a deficient number, since it is larger than the sum of its proper divisors (153081072775).

10100001009977 is an equidigital number, since it uses as much as digits as its factorization.

10100001009977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34335199.

The product of its (nonzero) digits is 3969, while the sum is 35.

The spelling of 10100001009977 in words is "ten trillion, one hundred billion, one million, nine thousand, nine hundred seventy-seven".