100220001102000 has 360 divisors, whose sum is σ = 379032055672608. Its totient is φ = 24669537984000.

The previous prime is 100220001101971. The next prime is 100220001102031. The reversal of 100220001102000 is 201100022001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13430716 + ... + 19514715.

Almost surely, 2^{100220001102000} is an apocalyptic number.

100220001102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220001102000 is an abundant number, since it is smaller than the sum of its proper divisors (278812054570608).

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

100220001102000 is a wasteful number, since it uses less digits than its factorization.

100220001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32945486 (or 32945454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220001102000 its reverse (201100022001), we get a palindrome (100421101124001).

The spelling of 100220001102000 in words is "one hundred trillion, two hundred twenty billion, one million, one hundred two thousand".