10000121112 has 64 divisors (see below), whose sum is σ = 28674201600. Its totient is φ = 3225843360.

The previous prime is 10000121099. The next prime is 10000121147. The reversal of 10000121112 is 21112100001.

It is a happy number.

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 = 10000121094 and 10000121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740028 + ... + 753419.

It is an arithmetic number, because the mean of its divisors is an integer number (448034400).

Almost surely, 2^10000121112 is an apocalyptic number.

10000121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000121112 is an abundant number, since it is smaller than the sum of its proper divisors (18674080488).

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

10000121112 is a wasteful number, since it uses less digits than its factorization.

10000121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493493 (or 1493483 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000121112 its reverse (21112100001), we get a palindrome (31112221113).

It can be divided in two parts, 100001 and 21112, that multiplied together give a palindrome (2111221112).

The spelling of 10000121112 in words is "ten billion, one hundred twenty-one thousand, one hundred twelve".