100010121012200 has 288 divisors, whose sum is σ = 278918951169600. Its totient is φ = 33231300480000.

The previous prime is 100010121012199. The next prime is 100010121012209. The reversal of 100010121012200 is 2210121010001.

It is not an unprimeable number, because it can be changed into a prime (100010121012209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59847611 + ... + 61495989.

It is an arithmetic number, because the mean of its divisors is an integer number (968468580450).

Almost surely, 2^{100010121012200} is an apocalyptic number.

100010121012200 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 100010121012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139459475584800).

100010121012200 is an abundant number, since it is smaller than the sum of its proper divisors (178908830157400).

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

100010121012200 is a wasteful number, since it uses less digits than its factorization.

100010121012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648601 (or 1648585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010121012200 its reverse (2210121010001), we get a palindrome (102220242022201).

The spelling of 100010121012200 in words is "one hundred trillion, ten billion, one hundred twenty-one million, twelve thousand, two hundred".