10100009977 has 4 divisors (see below), whose sum is σ = 10100211300. Its totient is φ = 10099808656.

The previous prime is 10100009951. The next prime is 10100009989. The reversal of 10100009977 is 77990000101.

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 540841536 + 9559168441 = 23256^2 + 97771^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100009977 - 2²³ = 10091621369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100009477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41763 + ... + 148135.

It is an arithmetic number, because the mean of its divisors is an integer number (2525052825).

Almost surely, 2^10100009977 is an apocalyptic number.

It is an amenable number.

10100009977 is a deficient number, since it is larger than the sum of its proper divisors (201323).

10100009977 is an equidigital number, since it uses as much as digits as its factorization.

10100009977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201322.

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

The spelling of 10100009977 in words is "ten billion, one hundred million, nine thousand, nine hundred seventy-seven".