2010002101101 has 8 divisors (see below), whose sum is σ = 2977780890560. Its totient is φ = 1340001400716.

The previous prime is 2010002101067. The next prime is 2010002101183. The reversal of 2010002101101 is 1011012000102.

It is a happy number.

It is not a de Polignac number, because 2010002101101 - 2³⁷ = 1872563147629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010002101201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37222261105 + ... + 37222261158.

It is an arithmetic number, because the mean of its divisors is an integer number (372222611320).

Almost surely, 2^{2010002101101} is an apocalyptic number.

It is an amenable number.

2010002101101 is a deficient number, since it is larger than the sum of its proper divisors (967778789459).

2010002101101 is an equidigital number, since it uses as much as digits as its factorization.

2010002101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74444522272 (or 74444522266 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010002101101 its reverse (1011012000102), we get a palindrome (3021014101203).

The spelling of 2010002101101 in words is "two trillion, ten billion, two million, one hundred one thousand, one hundred one".