101100011210921 has 2 divisors, whose sum is σ = 101100011210922. Its totient is φ = 101100011210920.

The previous prime is 101100011210917. The next prime is 101100011210923. The reversal of 101100011210921 is 129012110001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92293296163600 + 8806715047321 = 9606940^2 + 2967611^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100011210921 - 2² = 101100011210917 is a prime.

Together with 101100011210923, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100011210893 and 101100011210902.

It is not a weakly prime, because it can be changed into another prime (101100011210923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005605460 + 50550005605461.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005605461).

Almost surely, 2^{101100011210921} is an apocalyptic number.

It is an amenable number.

101100011210921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011210921 is an equidigital number, since it uses as much as digits as its factorization.

101100011210921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101100011210921 in words is "one hundred one trillion, one hundred billion, eleven million, two hundred ten thousand, nine hundred twenty-one".