100012221120 has 896 divisors, whose sum is σ = 400077066240. Its totient is φ = 20664483840.

The previous prime is 100012221107. The next prime is 100012221121. The reversal of 100012221120 is 21122210001.

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 = 100012221096 and 100012221105.

It is not an unprimeable number, because it can be changed into a prime (100012221121) 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, 237558510 + ... + 237558930.

Almost surely, 2^100012221120 is an apocalyptic number.

100012221120 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 100012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200038533120).

100012221120 is an abundant number, since it is smaller than the sum of its proper divisors (300064845120).

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

100012221120 is a wasteful number, since it uses less digits than its factorization.

100012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012221120 its reverse (21122210001), we get a palindrome (121134431121).

The spelling of 100012221120 in words is "one hundred billion, twelve million, two hundred twenty-one thousand, one hundred twenty".