100001001121100 has 72 divisors (see below), whose sum is σ = 217123832976960. Its totient is φ = 39977978181120.

The previous prime is 100001001121051. The next prime is 100001001121111. The reversal of 100001001121100 is 1121100100001.

It is a happy number.

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, 4331473757 + ... + 4331496843.

Almost surely, 2^{100001001121100} is an apocalyptic number.

100001001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001001121100 is an abundant number, since it is smaller than the sum of its proper divisors (117122831855860).

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

100001001121100 is a wasteful number, since it uses less digits than its factorization.

100001001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45507 (or 45500 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001001121100 its reverse (1121100100001), we get a palindrome (101122101221101).

The spelling of 100001001121100 in words is "one hundred trillion, one billion, one million, one hundred twenty-one thousand, one hundred".