100102221201100 has 72 divisors (see below), whose sum is σ = 217686416115168. Its totient is φ = 39955339430400.

The previous prime is 100102221201091. The next prime is 100102221201121. The reversal of 100102221201100 is 1102122201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87790234 + ... + 88923166.

It is an arithmetic number, because the mean of its divisors is an integer number (3023422446044).

Almost surely, 2^{100102221201100} is an apocalyptic number.

100102221201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102221201100 is an abundant number, since it is smaller than the sum of its proper divisors (117584194914068).

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

100102221201100 is a wasteful number, since it uses less digits than its factorization.

100102221201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134835 (or 1134828 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102221201100 its reverse (1102122201001), we get a palindrome (101204343402101).

Subtracting from 100102221201100 its reverse (1102122201001), we obtain a palindrome (99000099000099).

The spelling of 100102221201100 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, two hundred one thousand, one hundred".