100101222121100 has 18 divisors (see below), whose sum is σ = 217219652003004. Its totient is φ = 40040488848400.

The previous prime is 100101222121091. The next prime is 100101222121177. The reversal of 100101222121100 is 1121222101001.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500506110506 + ... + 500506110705.

Almost surely, 2^{100101222121100} is an apocalyptic number.

100101222121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101222121100 is an abundant number, since it is smaller than the sum of its proper divisors (117118429881904).

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

100101222121100 is a wasteful number, since it uses less digits than its factorization.

100101222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001012221225 (or 1001012221218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100101222121100 its reverse (1121222101001), we get a palindrome (101222444222101).

The spelling of 100101222121100 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".