10011011121100 has 54 divisors (see below), whose sum is σ = 23878329943412. Its totient is φ = 3640367676000.

The previous prime is 10011011121029. The next prime is 10011011121151. The reversal of 10011011121100 is 112111011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 413666046 + ... + 413690245.

Almost surely, 2^{10011011121100} is an apocalyptic number.

10011011121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011011121100 is an abundant number, since it is smaller than the sum of its proper divisors (13867318822312).

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

10011011121100 is a wasteful number, since it uses less digits than its factorization.

10011011121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827356327 (or 827356309 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10011011121100 its reverse (112111011001), we get a palindrome (10123122132101).

The spelling of 10011011121100 in words is "ten trillion, eleven billion, eleven million, one hundred twenty-one thousand, one hundred".