101002002110101 has 16 divisors (see below), whose sum is σ = 104934979656000. Its totient is φ = 97099048267648.

The previous prime is 101002002110089. The next prime is 101002002110123. The reversal of 101002002110101 is 101011200200101.

It is not a de Polignac number, because 101002002110101 - 2⁴¹ = 98802978854549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002110201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804689190 + ... + 804814696.

It is an arithmetic number, because the mean of its divisors is an integer number (6558436228500).

Almost surely, 2^{101002002110101} is an apocalyptic number.

It is an amenable number.

101002002110101 is a deficient number, since it is larger than the sum of its proper divisors (3932977545899).

101002002110101 is a wasteful number, since it uses less digits than its factorization.

101002002110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244868.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101002002110101 its reverse (101011200200101), we get a palindrome (202013202310202).

The spelling of 101002002110101 in words is "one hundred one trillion, two billion, two million, one hundred ten thousand, one hundred one".