100121210000 has 150 divisors (see below), whose sum is σ = 281980916910. Its totient is φ = 34327104000.

The previous prime is 100121209957. The next prime is 100121210003. The reversal of 100121210000 is 12121001.

100121210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8455170304 + 91666039696 = 91952^2 + 302764^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100121210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121210003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 387836 + ... + 592164.

Almost surely, 2^100121210000 is an apocalyptic number.

100121210000 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 100121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140990458455).

100121210000 is an abundant number, since it is smaller than the sum of its proper divisors (181859706910).

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

100121210000 is an equidigital number, since it uses as much as digits as its factorization.

100121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204371 (or 204343 counting only the distinct ones).

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

Adding to 100121210000 its reverse (12121001), we get a palindrome (100133331001).

The spelling of 100121210000 in words is "one hundred billion, one hundred twenty-one million, two hundred ten thousand".