10021010109977 has 2 divisors, whose sum is σ = 10021010109978. Its totient is φ = 10021010109976.

The previous prime is 10021010109883. The next prime is 10021010110019. The reversal of 10021010109977 is 77990101012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7434625675801 + 2586384434176 = 2726651^2 + 1608224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021010109977 - 2¹⁸ = 10021009847833 is a prime.

It is a super-2 number, since 2×10021010109977² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021010109977.

It is not a weakly prime, because it can be changed into another prime (10021010102977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010505054988 + 5010505054989.

It is an arithmetic number, because the mean of its divisors is an integer number (5010505054989).

Almost surely, 2^{10021010109977} is an apocalyptic number.

It is an amenable number.

10021010109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021010109977 is an equidigital number, since it uses as much as digits as its factorization.

10021010109977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 38.

The spelling of 10021010109977 in words is "ten trillion, twenty-one billion, ten million, one hundred nine thousand, nine hundred seventy-seven".