101121100122001 has 2 divisors, whose sum is σ = 101121100122002. Its totient is φ = 101121100122000.

The previous prime is 101121100121981. The next prime is 101121100122047. The reversal of 101121100122001 is 100221001121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58104869249025 + 43016230872976 = 7622655^2 + 6558676^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121100122001 - 2¹¹ = 101121100119953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121100162001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560550061000 + 50560550061001.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550061001).

Almost surely, 2^{101121100122001} is an apocalyptic number.

It is an amenable number.

101121100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121100122001 is an equidigital number, since it uses as much as digits as its factorization.

101121100122001 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 13.

Adding to 101121100122001 its reverse (100221001121101), we get a palindrome (201342101243102).

The spelling of 101121100122001 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one".