101020012002001 has 2 divisors, whose sum is σ = 101020012002002. Its totient is φ = 101020012002000.

The previous prime is 101020012001989. The next prime is 101020012002023. The reversal of 101020012002001 is 100200210020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65617274001601 + 35402738000400 = 8100449^2 + 5950020^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020012002001 - 2²⁵ = 101019978447569 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020012002061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510006001000 + 50510006001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510006001001).

Almost surely, 2^{101020012002001} is an apocalyptic number.

It is an amenable number.

101020012002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020012002001 is an equidigital number, since it uses as much as digits as its factorization.

101020012002001 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 10.

Adding to 101020012002001 its reverse (100200210020101), we get a palindrome (201220222022102).

The spelling of 101020012002001 in words is "one hundred one trillion, twenty billion, twelve million, two thousand, one".