10000011121110 has 48 divisors (see below), whose sum is σ = 26388089063856. Its totient is φ = 2626868591424.

The previous prime is 10000011121081. The next prime is 10000011121153. The reversal of 10000011121110 is 1112111000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000011121092 and 10000011121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829182289 + ... + 829194348.

It is an arithmetic number, because the mean of its divisors is an integer number (549751855497).

Almost surely, 2^{10000011121110} is an apocalyptic number.

10000011121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000011121110 is an abundant number, since it is smaller than the sum of its proper divisors (16388077942746).

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

10000011121110 is a wasteful number, since it uses less digits than its factorization.

10000011121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658376717 (or 1658376714 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10000011121110 its reverse (1112111000001), we get a palindrome (11112122121111).

The spelling of 10000011121110 in words is "ten trillion, eleven million, one hundred twenty-one thousand, one hundred ten".