101002011010101 has 6 divisors (see below), whose sum is σ = 145891793681270. Its totient is φ = 67334674006728.

The previous prime is 101002011010079. The next prime is 101002011010139. The reversal of 101002011010101 is 101010110200101.

It can be written as a sum of positive squares in only one way, i.e., 52357872543876 + 48644138466225 = 7235874^2 + 6974535^2 .

It is not a de Polignac number, because 101002011010101 - 2⁶ = 101002011010037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222445667789 = 101002011010101 / (1 + 0 + 1 + 0 + 0 + 2 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002011010601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611222833886 + ... + 5611222833903.

Almost surely, 2^{101002011010101} is an apocalyptic number.

It is an amenable number.

101002011010101 is a deficient number, since it is larger than the sum of its proper divisors (44889782671169).

101002011010101 is a wasteful number, since it uses less digits than its factorization.

101002011010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222445667795 (or 11222445667792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101002011010101 its reverse (101010110200101), we get a palindrome (202012121210202).

The spelling of 101002011010101 in words is "one hundred one trillion, two billion, eleven million, ten thousand, one hundred one".