101121002121101 has 2 divisors, whose sum is σ = 101121002121102. Its totient is φ = 101121002121100.

The previous prime is 101121002121077. The next prime is 101121002121179. The reversal of 101121002121101 is 101121200121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66691967245225 + 34429034875876 = 8166515^2 + 5867626^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121002121101 - 2⁶ = 101121002121037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121002121401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560501060550 + 50560501060551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560501060551).

Almost surely, 2^{101121002121101} is an apocalyptic number.

It is an amenable number.

101121002121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121002121101 is an equidigital number, since it uses as much as digits as its factorization.

101121002121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121002121101 its reverse (101121200121101), we get a palindrome (202242202242202).

The spelling of 101121002121101 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred twenty-one thousand, one hundred one".