10100010010110 has 128 divisors (see below), whose sum is σ = 24542432538624. Its totient is φ = 2659880985600.

The previous prime is 10100010010073. The next prime is 10100010010117. The reversal of 10100010010110 is 1101001000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010010117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240958477 + ... + 2240962983.

It is an arithmetic number, because the mean of its divisors is an integer number (191737754208).

Almost surely, 2^{10100010010110} is an apocalyptic number.

10100010010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010010110 is an abundant number, since it is smaller than the sum of its proper divisors (14442422528514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100010010110 is a wasteful number, since it uses less digits than its factorization.

10100010010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100010010110 its reverse (1101001000101), we get a palindrome (11201011010211).

The spelling of 10100010010110 in words is "ten trillion, one hundred billion, ten million, ten thousand, one hundred ten".