10121011200 has 756 divisors, whose sum is σ = 40538422860. Its totient is φ = 2406481920.

The previous prime is 10121011157. The next prime is 10121011231. The reversal of 10121011200 is 211012101.

It is a happy number.

It is a super-3 number, since 3×10121011200³ (a number of 31 digits) contains 333 as substring.

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 53 ways as a sum of consecutive naturals, for example, 532684791 + ... + 532684809.

Almost surely, 2^10121011200 is an apocalyptic number.

10121011200 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 10121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269211430).

10121011200 is an abundant number, since it is smaller than the sum of its proper divisors (30417411660).

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

10121011200 is a wasteful number, since it uses less digits than its factorization.

10121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

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

Adding to 10121011200 its reverse (211012101), we get a palindrome (10332023301).

Subtracting from 10121011200 its reverse (211012101), we obtain a palindrome (9909999099).

The spelling of 10121011200 in words is "ten billion, one hundred twenty-one million, eleven thousand, two hundred".