10202120999977 has 2 divisors, whose sum is σ = 10202120999978. Its totient is φ = 10202120999976.

The previous prime is 10202120999953. The next prime is 10202121000031. The reversal of 10202120999977 is 77999902120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5611990433296 + 4590130566681 = 2368964^2 + 2142459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202120999977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202120999177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101060499988 + 5101060499989.

It is an arithmetic number, because the mean of its divisors is an integer number (5101060499989).

Almost surely, 2^{10202120999977} is an apocalyptic number.

It is an amenable number.

10202120999977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202120999977 is an equidigital number, since it uses as much as digits as its factorization.

10202120999977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2571912, while the sum is 58.

The spelling of 10202120999977 in words is "ten trillion, two hundred two billion, one hundred twenty million, nine hundred ninety-nine thousand, nine hundred seventy-seven".