101000101100010 has 64 divisors (see below), whose sum is σ = 277389094752000. Its totient is φ = 23055716892672.

The previous prime is 101000101100009. The next prime is 101000101100023. The reversal of 101000101100010 is 10001101000101.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312551685 + ... + 312874664.

It is an arithmetic number, because the mean of its divisors is an integer number (4334204605500).

Almost surely, 2^{101000101100010} is an apocalyptic number.

101000101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000101100010 is an abundant number, since it is smaller than the sum of its proper divisors (176388993651990).

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

101000101100010 is a wasteful number, since it uses less digits than its factorization.

101000101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625427135.

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

Adding to 101000101100010 its reverse (10001101000101), we get a palindrome (111001202100111).

Subtracting from 101000101100010 its reverse (10001101000101), we obtain a palindrome (90999000099909).

The spelling of 101000101100010 in words is "one hundred one trillion, one hundred one million, one hundred thousand, ten".