100121001021100 has 216 divisors, whose sum is σ = 232599593628080. Its totient is φ = 37398505697280.

The previous prime is 100121001021071. The next prime is 100121001021161. The reversal of 100121001021100 is 1120100121001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3216930139 + ... + 3216961261.

Almost surely, 2^{100121001021100} is an apocalyptic number.

100121001021100 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 100121001021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116299796814040).

100121001021100 is an abundant number, since it is smaller than the sum of its proper divisors (132478592606980).

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

100121001021100 is a wasteful number, since it uses less digits than its factorization.

100121001021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32037 (or 32013 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121001021100 its reverse (1120100121001), we get a palindrome (101241101142101).

Subtracting from 100121001021100 its reverse (1120100121001), we obtain a palindrome (99000900900099).

The spelling of 100121001021100 in words is "one hundred trillion, one hundred twenty-one billion, one million, twenty-one thousand, one hundred".