101201000999081 has 2 divisors, whose sum is σ = 101201000999082. Its totient is φ = 101201000999080.

The previous prime is 101201000999051. The next prime is 101201000999113. The reversal of 101201000999081 is 180999000102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86659622083225 + 14541378915856 = 9309115^2 + 3813316^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201000999081 - 2⁴² = 96802954487977 is a prime.

It is a super-2 number, since 2×101201000999081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101201000999051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600500499540 + 50600500499541.

It is an arithmetic number, because the mean of its divisors is an integer number (50600500499541).

Almost surely, 2^{101201000999081} is an apocalyptic number.

It is an amenable number.

101201000999081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201000999081 is an equidigital number, since it uses as much as digits as its factorization.

101201000999081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 41.

The spelling of 101201000999081 in words is "one hundred one trillion, two hundred one billion, nine hundred ninety-nine thousand, eighty-one".