2010022101101 has 16 divisors (see below), whose sum is σ = 2346107712000. Its totient is φ = 1686173379840.

The previous prime is 2010022101047. The next prime is 2010022101103. The reversal of 2010022101101 is 1011012200102.

It is a cyclic number.

It is not a de Polignac number, because 2010022101101 - 2²⁶ = 2009954992237 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 (2010022101103) 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, 18121631 + ... + 18232211.

It is an arithmetic number, because the mean of its divisors is an integer number (146631732000).

Almost surely, 2^{2010022101101} is an apocalyptic number.

It is an amenable number.

2010022101101 is a deficient number, since it is larger than the sum of its proper divisors (336085610899).

2010022101101 is a wasteful number, since it uses less digits than its factorization.

2010022101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165884.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010022101101 its reverse (1011012200102), we get a palindrome (3021034301203).

Subtracting from 2010022101101 its reverse (1011012200102), we obtain a palindrome (999009900999).

The spelling of 2010022101101 in words is "two trillion, ten billion, twenty-two million, one hundred one thousand, one hundred one".