100222121121000 has 256 divisors, whose sum is σ = 331818691276800. Its totient is φ = 25130615840000.

The previous prime is 100222121120987. The next prime is 100222121121029. The reversal of 100222121121000 is 121121222001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8238276 + ... + 16380275.

It is an arithmetic number, because the mean of its divisors is an integer number (1296166762800).

Almost surely, 2^{100222121121000} is an apocalyptic number.

100222121121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222121121000 is an abundant number, since it is smaller than the sum of its proper divisors (231596570155800).

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

100222121121000 is a wasteful number, since it uses less digits than its factorization.

100222121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24618657 (or 24618643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100222121121000 its reverse (121121222001), we get a palindrome (100343242343001).

The spelling of 100222121121000 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand".