10121111112 has 48 divisors (see below), whose sum is σ = 29433846960. Its totient is φ = 2891745696.

The previous prime is 10121111101. The next prime is 10121111191. The reversal of 10121111112 is 21111112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4302018 + ... + 4304369.

It is an arithmetic number, because the mean of its divisors is an integer number (613205145).

Almost surely, 2^10121111112 is an apocalyptic number.

10121111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121111112 is an abundant number, since it is smaller than the sum of its proper divisors (19312735848).

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

10121111112 is a wasteful number, since it uses less digits than its factorization.

10121111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606410 (or 8606399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121111112 its reverse (21111112101), we get a palindrome (31232223213).

It can be divided in two parts, 101 and 21111112, that multiplied together give a palindrome (2132222312).

The spelling of 10121111112 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".