100121201321200 has 120 divisors (see below), whose sum is σ = 245280869057840. Its totient is φ = 39263632588800.

The previous prime is 100121201321153. The next prime is 100121201321279. The reversal of 100121201321200 is 2123102121001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807856 + ... + 14173744.

Almost surely, 2^{100121201321200} is an apocalyptic number.

100121201321200 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 100121201321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640434528920).

100121201321200 is an abundant number, since it is smaller than the sum of its proper divisors (145159667736640).

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

100121201321200 is a wasteful number, since it uses less digits than its factorization.

100121201321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366275 (or 13366264 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100121201321200 its reverse (2123102121001), we get a palindrome (102244303442201).

The spelling of 100121201321200 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, three hundred twenty-one thousand, two hundred".