10011001100010 has 256 divisors, whose sum is σ = 25162957518336. Its totient is φ = 2547020464128.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001100010 is 1000110011001.

10011001100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 8682567594 + ... + 8682568746.

It is an arithmetic number, because the mean of its divisors is an integer number (98292802806).

Almost surely, 2^{10011001100010} is an apocalyptic number.

10011001100010 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 10011001100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581478759168).

10011001100010 is an abundant number, since it is smaller than the sum of its proper divisors (15151956418326).

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

10011001100010 is a wasteful number, since it uses less digits than its factorization.

10011001100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089.

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

Adding to 10011001100010 its reverse (1000110011001), we get a palindrome (11011111111011).

The spelling of 10011001100010 in words is "ten trillion, eleven billion, one million, one hundred thousand, ten".