2010102101101 has 16 divisors (see below), whose sum is σ = 2032901188416. Its totient is φ = 1987362000000.

The previous prime is 2010102101039. The next prime is 2010102101149. The reversal of 2010102101101 is 1011012010102.

It is a cyclic number.

It is not a de Polignac number, because 2010102101101 - 2¹¹ = 2010102099053 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 (2010102101171) 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, 269772426 + ... + 269779876.

It is an arithmetic number, because the mean of its divisors is an integer number (127056324276).

Almost surely, 2^{2010102101101} is an apocalyptic number.

It is an amenable number.

2010102101101 is a deficient number, since it is larger than the sum of its proper divisors (22799087315).

2010102101101 is a wasteful number, since it uses less digits than its factorization.

2010102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004.

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

Adding to 2010102101101 its reverse (1011012010102), we get a palindrome (3021114111203).

Subtracting from 2010102101101 its reverse (1011012010102), we obtain a palindrome (999090090999).

It can be divided in two parts, 2010102 and 101101, that multiplied together give a palindrome (203223322302).

The spelling of 2010102101101 in words is "two trillion, ten billion, one hundred two million, one hundred one thousand, one hundred one".