10010100011120 has 40 divisors (see below), whose sum is σ = 25389253666800. Its totient is φ = 3640036367360.

The previous prime is 10010100011063. The next prime is 10010100011221. The reversal of 10010100011120 is 2111000101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10010100011098 and 10010100011107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5687555945 + ... + 5687557704.

It is an arithmetic number, because the mean of its divisors is an integer number (634731341670).

Almost surely, 2^{10010100011120} is an apocalyptic number.

10010100011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100011120 is an abundant number, since it is smaller than the sum of its proper divisors (15379153655680).

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

10010100011120 is a wasteful number, since it uses less digits than its factorization.

10010100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375113673 (or 11375113667 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010100011120 its reverse (2111000101001), we get a palindrome (12121100112121).

The spelling of 10010100011120 in words is "ten trillion, ten billion, one hundred million, eleven thousand, one hundred twenty".