10102110211011 has 128 divisors (see below), whose sum is σ = 17246902450176. Its totient is φ = 5117379379200.

The previous prime is 10102110211009. The next prime is 10102110211019. The reversal of 10102110211011 is 11011201120101.

It is not a de Polignac number, because 10102110211011 - 2¹ = 10102110211009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102110211019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020307161 + ... + 1020317061.

It is an arithmetic number, because the mean of its divisors is an integer number (134741425392).

Almost surely, 2^{10102110211011} is an apocalyptic number.

10102110211011 is a deficient number, since it is larger than the sum of its proper divisors (7144792239165).

10102110211011 is a wasteful number, since it uses less digits than its factorization.

10102110211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10102110211011 its reverse (11011201120101), we get a palindrome (21113311331112).

The spelling of 10102110211011 in words is "ten trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, eleven".