2010101019977 has 2 divisors, whose sum is σ = 2010101019978. Its totient is φ = 2010101019976.

The previous prime is 2010101019959. The next prime is 2010101020009. The reversal of 2010101019977 is 7799101010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1041020252416 + 969080767561 = 1020304^2 + 984419^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010101019977 - 2¹⁴ = 2010101003593 is a prime.

It is a super-2 number, since 2×2010101019977² (a number of 25 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 2010101019977.

It is not a weakly prime, because it can be changed into another prime (2010101019947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005050509988 + 1005050509989.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050509989).

Almost surely, 2^{2010101019977} is an apocalyptic number.

It is an amenable number.

2010101019977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010101019977 is an equidigital number, since it uses as much as digits as its factorization.

2010101019977 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 2010101019977 in words is "two trillion, ten billion, one hundred one million, nineteen thousand, nine hundred seventy-seven".