100000121210000 has 400 divisors, whose sum is σ = 267780899282688. Its totient is φ = 35862528000000.

The previous prime is 100000121209993. The next prime is 100000121210027. The reversal of 100000121210000 is 12121000001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100000121210000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2855252489 + ... + 2855287511.

Almost surely, 2^{100000121210000} is an apocalyptic number.

100000121210000 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 100000121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133890449641344).

100000121210000 is an abundant number, since it is smaller than the sum of its proper divisors (167780778072688).

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

100000121210000 is a wasteful number, since it uses less digits than its factorization.

100000121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35420 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100000121210000 its reverse (12121000001), we get a palindrome (100012242210001).

The spelling of 100000121210000 in words is "one hundred trillion, one hundred twenty-one million, two hundred ten thousand".