100200121121120 has 96 divisors (see below), whose sum is σ = 241254994270752. Its totient is φ = 39313102712832.

The previous prime is 100200121121101. The next prime is 100200121121123. The reversal of 100200121121120 is 21121121002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200121121095 and 100200121121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200121121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29538539 + ... + 32755541.

It is an arithmetic number, because the mean of its divisors is an integer number (2513072856987).

Almost surely, 2^{100200121121120} is an apocalyptic number.

100200121121120 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 100200121121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120627497135376).

100200121121120 is an abundant number, since it is smaller than the sum of its proper divisors (141054873149632).

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

100200121121120 is a wasteful number, since it uses less digits than its factorization.

100200121121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220744 (or 3220736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100200121121120 its reverse (21121121002001), we get a palindrome (121321242123121).

The spelling of 100200121121120 in words is "one hundred trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".