101100121111220 has 144 divisors (see below), whose sum is σ = 272452510491840. Its totient is φ = 31157661427200.

The previous prime is 101100121111217. The next prime is 101100121111247. The reversal of 101100121111220 is 22111121001101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101100121111195 and 101100121111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51728726 + ... + 53647565.

It is an arithmetic number, because the mean of its divisors is an integer number (1892031322860).

Almost surely, 2^{101100121111220} is an apocalyptic number.

101100121111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121111220 is an abundant number, since it is smaller than the sum of its proper divisors (171352389380620).

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

101100121111220 is a wasteful number, since it uses less digits than its factorization.

101100121111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105376414 (or 105376405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101100121111220 its reverse (22111121001101), we get a palindrome (123211242112321).

The spelling of 101100121111220 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".