10012100011110 has 64 divisors (see below), whose sum is σ = 26700000883200. Its totient is φ = 2669786584416.

The previous prime is 10012100011099. The next prime is 10012100011129. The reversal of 10012100011110 is 1111000121001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10012100011092 and 10012100011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6142081 + ... + 7599299.

It is an arithmetic number, because the mean of its divisors is an integer number (417187513800).

Almost surely, 2^{10012100011110} is an apocalyptic number.

10012100011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012100011110 is an abundant number, since it is smaller than the sum of its proper divisors (16687900872090).

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

10012100011110 is a wasteful number, since it uses less digits than its factorization.

10012100011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482682 (or 1482676 counting only the distinct ones).

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

Adding to 10012100011110 its reverse (1111000121001), we get a palindrome (11123100132111).

The spelling of 10012100011110 in words is "ten trillion, twelve billion, one hundred million, eleven thousand, one hundred ten".