10112121200 has 60 divisors (see below), whose sum is σ = 24306965088. Its totient is φ = 4042752000.

The previous prime is 10112121197. The next prime is 10112121209. The reversal of 10112121200 is 212121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112121209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935024 + ... + 945776.

Almost surely, 2^10112121200 is an apocalyptic number.

10112121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121200 is an abundant number, since it is smaller than the sum of its proper divisors (14194843888).

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

10112121200 is a wasteful number, since it uses less digits than its factorization.

10112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112121200 its reverse (212121101), we get a palindrome (10324242301).

Subtracting from 10112121200 its reverse (212121101), we obtain a palindrome (9900000099).

The spelling of 10112121200 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".