101101001099921 has 2 divisors, whose sum is σ = 101101001099922. Its totient is φ = 101101001099920.

The previous prime is 101101001099897. The next prime is 101101001100019. The reversal of 101101001099921 is 129990100101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96218227009921 + 4882774090000 = 9809089^2 + 2209700^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101001099921 - 2³⁰ = 101099927358097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101001098921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500549960 + 50550500549961.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500549961).

Almost surely, 2^{101101001099921} is an apocalyptic number.

It is an amenable number.

101101001099921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001099921 is an equidigital number, since it uses as much as digits as its factorization.

101101001099921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 35.

The spelling of 101101001099921 in words is "one hundred one trillion, one hundred one billion, one million, ninety-nine thousand, nine hundred twenty-one".