101202022113001 has 2 divisors, whose sum is σ = 101202022113002. Its totient is φ = 101202022113000.

The previous prime is 101202022112899. The next prime is 101202022113067. The reversal of 101202022113001 is 100311220202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53433176040000 + 47768846073001 = 7309800^2 + 6911501^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202022113001 - 2¹⁵ = 101202022080233 is a prime.

It is not a weakly prime, because it can be changed into another prime (101202022113091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601011056500 + 50601011056501.

It is an arithmetic number, because the mean of its divisors is an integer number (50601011056501).

Almost surely, 2^{101202022113001} is an apocalyptic number.

It is an amenable number.

101202022113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202022113001 is an equidigital number, since it uses as much as digits as its factorization.

101202022113001 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 16.

Adding to 101202022113001 its reverse (100311220202101), we get a palindrome (201513242315102).

The spelling of 101202022113001 in words is "one hundred one trillion, two hundred two billion, twenty-two million, one hundred thirteen thousand, one".