100333222200000 has 252 divisors, whose sum is σ = 359460831628080. Its totient is φ = 26755525440000.

The previous prime is 100333222199983. The next prime is 100333222200161. The reversal of 100333222200000 is 2222333001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26070340 + ... + 29670339.

It is an arithmetic number, because the mean of its divisors is an integer number (1426431871540).

Almost surely, 2^{100333222200000} is an apocalyptic number.

100333222200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100333222200000 is an abundant number, since it is smaller than the sum of its proper divisors (259127609428080).

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

100333222200000 is an frugal number, since it uses more digits than its factorization.

100333222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55740722 (or 55740689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100333222200000 its reverse (2222333001), we get a palindrome (100335444533001).

The spelling of 100333222200000 in words is "one hundred trillion, three hundred thirty-three billion, two hundred twenty-two million, two hundred thousand".