101121201216001 has 2 divisors, whose sum is σ = 101121201216002. Its totient is φ = 101121201216000.

The previous prime is 101121201215873. The next prime is 101121201216017. The reversal of 101121201216001 is 100612102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72733606560000 + 28387594656001 = 8528400^2 + 5328001^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201216001 - 2⁷ = 101121201215873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121201216001.

It is not a weakly prime, because it can be changed into another prime (101121201216071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600608000 + 50560600608001.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600608001).

Almost surely, 2^{101121201216001} is an apocalyptic number.

It is an amenable number.

101121201216001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201216001 is an equidigital number, since it uses as much as digits as its factorization.

101121201216001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 101121201216001 its reverse (100612102121101), we get a palindrome (201733303337102).

The spelling of 101121201216001 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred sixteen thousand, one".