101001010009977 has 96 divisors (see below), whose sum is σ = 182905720897536. Its totient is φ = 52175366006400.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010009977 is 779900010100101.

It is not a de Polignac number, because 101001010009977 - 2¹⁶ = 101001009944441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001010009967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140426323 + ... + 141143735.

It is an arithmetic number, because the mean of its divisors is an integer number (1905267926016).

Almost surely, 2^{101001010009977} is an apocalyptic number.

It is an amenable number.

101001010009977 is a deficient number, since it is larger than the sum of its proper divisors (81904710887559).

101001010009977 is a wasteful number, since it uses less digits than its factorization.

101001010009977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718571 (or 718568 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 36.

The spelling of 101001010009977 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred seventy-seven".