100101112201100 has 36 divisors (see below), whose sum is σ = 217223295522408. Its totient is φ = 40039729296000.

The previous prime is 100101112201093. The next prime is 100101112201157. The reversal of 100101112201100 is 1102211101001.

It is a super-2 number, since 2×100101112201100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3303641 + ... + 14529840.

It is an arithmetic number, because the mean of its divisors is an integer number (6033980431178).

Almost surely, 2^{100101112201100} is an apocalyptic number.

100101112201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101112201100 is an abundant number, since it is smaller than the sum of its proper divisors (117122183321308).

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

100101112201100 is a wasteful number, since it uses less digits than its factorization.

100101112201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17889626 (or 17889619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101112201100 its reverse (1102211101001), we get a palindrome (101203323302101).

The spelling of 100101112201100 in words is "one hundred trillion, one hundred one billion, one hundred twelve million, two hundred one thousand, one hundred".