100111233211220 has 384 divisors, whose sum is σ = 267998991482880. Its totient is φ = 30511720673280.

The previous prime is 100111233211211. The next prime is 100111233211229. The reversal of 100111233211220 is 22112332111001.

It is an interprime number because it is at equal distance from previous prime (100111233211211) and next prime (100111233211229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100111233211192 and 100111233211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111233211229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5517889469 + ... + 5517907611.

It is an arithmetic number, because the mean of its divisors is an integer number (697914040320).

Almost surely, 2^{100111233211220} is an apocalyptic number.

100111233211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111233211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133999495741440).

100111233211220 is an abundant number, since it is smaller than the sum of its proper divisors (167887758271660).

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

100111233211220 is a wasteful number, since it uses less digits than its factorization.

100111233211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100111233211220 its reverse (22112332111001), we get a palindrome (122223565322221).

The spelling of 100111233211220 in words is "one hundred trillion, one hundred eleven billion, two hundred thirty-three million, two hundred eleven thousand, two hundred twenty".