100010100111220 has 192 divisors, whose sum is σ = 234806596577280. Its totient is φ = 35544630988800.

The previous prime is 100010100111199. The next prime is 100010100111227. The reversal of 100010100111220 is 22111001010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100010100111197 and 100010100111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297384526 + ... + 297720634.

It is an arithmetic number, because the mean of its divisors is an integer number (1222951023840).

Almost surely, 2^{100010100111220} is an apocalyptic number.

100010100111220 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 100010100111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117403298288640).

100010100111220 is an abundant number, since it is smaller than the sum of its proper divisors (134796496466060).

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

100010100111220 is a wasteful number, since it uses less digits than its factorization.

100010100111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336546 (or 336544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100010100111220 its reverse (22111001010001), we get a palindrome (122121101121221).

The spelling of 100010100111220 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, two hundred twenty".