1000100121200 has 90 divisors (see below), whose sum is σ = 2437063510512. Its totient is φ = 394404886400.

The previous prime is 1000100121173. The next prime is 1000100121221. The reversal of 1000100121200 is 21210010001.

1000100121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1768409 + ... + 2264391.

Almost surely, 2^{1000100121200} is an apocalyptic number.

1000100121200 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 1000100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218531755256).

1000100121200 is an abundant number, since it is smaller than the sum of its proper divisors (1436963389312).

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

1000100121200 is an equidigital number, since it uses as much as digits as its factorization.

1000100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496143 (or 496061 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000100121200 its reverse (21210010001), we get a palindrome (1021310131201).

The spelling of 1000100121200 in words is "one trillion, one hundred million, one hundred twenty-one thousand, two hundred".