101000001098977 has 2 divisors, whose sum is σ = 101000001098978. Its totient is φ = 101000001098976.

The previous prime is 101000001098959. The next prime is 101000001098999. The reversal of 101000001098977 is 779890100000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100976050131856 + 23950967121 = 10048684^2 + 154761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000001098977 - 2²³ = 100999992710369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000001098917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000549488 + 50500000549489.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000549489).

Almost surely, 2^{101000001098977} is an apocalyptic number.

It is an amenable number.

101000001098977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001098977 is an equidigital number, since it uses as much as digits as its factorization.

101000001098977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 43.

The spelling of 101000001098977 in words is "one hundred one trillion, one million, ninety-eight thousand, nine hundred seventy-seven".