10100011100010 has 192 divisors, whose sum is σ = 27365291952768. Its totient is φ = 2382518541312.

The previous prime is 10100011099979. The next prime is 10100011100089. The reversal of 10100011100010 is 1000111000101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11117472 + ... + 11991588.

It is an arithmetic number, because the mean of its divisors is an integer number (142527562254).

Almost surely, 2^{10100011100010} is an apocalyptic number.

10100011100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100011100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13682645976384).

10100011100010 is an abundant number, since it is smaller than the sum of its proper divisors (17265280852758).

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

10100011100010 is a wasteful number, since it uses less digits than its factorization.

10100011100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874249 (or 874236 counting only the distinct ones).

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

Adding to 10100011100010 its reverse (1000111000101), we get a palindrome (11100122100111).

Subtracting from 10100011100010 its reverse (1000111000101), we obtain a palindrome (9099900099909).

The spelling of 10100011100010 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, ten".