100121011200 has 528 divisors, whose sum is σ = 420217330560. Its totient is φ = 22883696640.

The previous prime is 100121011153. The next prime is 100121011201. The reversal of 100121011200 is 2110121001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100121011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4828054 + ... + 4848746.

Almost surely, 2^100121011200 is an apocalyptic number.

100121011200 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 100121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210108665280).

100121011200 is an abundant number, since it is smaller than the sum of its proper divisors (320096319360).

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

100121011200 is a wasteful number, since it uses less digits than its factorization.

100121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20739 (or 20710 counting only the distinct ones).

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

Adding to 100121011200 its reverse (2110121001), we get a palindrome (102231132201).

The spelling of 100121011200 in words is "one hundred billion, one hundred twenty-one million, eleven thousand, two hundred".