100121131333200 has 120 divisors (see below), whose sum is σ = 320727172147200. Its totient is φ = 26698484295680.

The previous prime is 100121131333147. The next prime is 100121131333229. The reversal of 100121131333200 is 2333131121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 68067121 + ... + 69522479.

It is an arithmetic number, because the mean of its divisors is an integer number (2672726434560).

Almost surely, 2^{100121131333200} is an apocalyptic number.

100121131333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121131333200 is an abundant number, since it is smaller than the sum of its proper divisors (220606040814000).

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

100121131333200 is a wasteful number, since it uses less digits than its factorization.

100121131333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512709 (or 1512698 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100121131333200 its reverse (2333131121001), we get a palindrome (102454262454201).

The spelling of 100121131333200 in words is "one hundred trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred".