100001101121220 has 96 divisors (see below), whose sum is σ = 301616671321728. Its totient is φ = 24609542234112.

The previous prime is 100001101121209. The next prime is 100001101121261. The reversal of 100001101121220 is 22121101100001.

It is a super-2 number, since 2×100001101121220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100001101121196 and 100001101121205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12777309 + ... + 19059428.

It is an arithmetic number, because the mean of its divisors is an integer number (3141840326268).

Almost surely, 2^{100001101121220} is an apocalyptic number.

100001101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001101121220 is an abundant number, since it is smaller than the sum of its proper divisors (201615570200508).

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

100001101121220 is a wasteful number, since it uses less digits than its factorization.

100001101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840789 (or 31840787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100001101121220 its reverse (22121101100001), we get a palindrome (122122202221221).

The spelling of 100001101121220 in words is "one hundred trillion, one billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".