101021100948877 has 2 divisors, whose sum is σ = 101021100948878. Its totient is φ = 101021100948876.

The previous prime is 101021100948853. The next prime is 101021100948881. The reversal of 101021100948877 is 778849001120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95129708874916 + 5891392073961 = 9753446^2 + 2427219^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021100948877 - 2²⁷ = 101020966731149 is a prime.

It is a super-2 number, since 2×101021100948877² (a number of 29 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 101021100948877.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021100948827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510550474438 + 50510550474439.

It is an arithmetic number, because the mean of its divisors is an integer number (50510550474439).

Almost surely, 2^{101021100948877} is an apocalyptic number.

It is an amenable number.

101021100948877 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021100948877 is an equidigital number, since it uses as much as digits as its factorization.

101021100948877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 49.

The spelling of 101021100948877 in words is "one hundred one trillion, twenty-one billion, one hundred million, nine hundred forty-eight thousand, eight hundred seventy-seven".