10121112000 has 280 divisors, whose sum is σ = 37445076240. Its totient is φ = 2698790400.

The previous prime is 10121111927. The next prime is 10121112041. The reversal of 10121112000 is 21112101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 640191 + ... + 655809.

Almost surely, 2^10121112000 is an apocalyptic number.

10121112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722538120).

10121112000 is an abundant number, since it is smaller than the sum of its proper divisors (27323964240).

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

10121112000 is an equidigital number, since it uses as much as digits as its factorization.

10121112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15658 (or 15629 counting only the distinct ones).

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

Adding to 10121112000 its reverse (21112101), we get a palindrome (10142224101).

The spelling of 10121112000 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand".