1000100112210 has 96 divisors (see below), whose sum is σ = 2618529217200. Its totient is φ = 264820752384.

The previous prime is 1000100112199. The next prime is 1000100112211. The reversal of 1000100112210 is 122110010001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 242202763881 + 757897348329 = 492141^2 + 870573^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000100112192 and 1000100112201.

It is not an unprimeable number, because it can be changed into a prime (1000100112211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51390802 + ... + 51410258.

Almost surely, 2^{1000100112210} is an apocalyptic number.

1000100112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309264608600).

1000100112210 is an abundant number, since it is smaller than the sum of its proper divisors (1618429104990).

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

1000100112210 is a wasteful number, since it uses less digits than its factorization.

1000100112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23452 (or 23449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000100112210 its reverse (122110010001), we get a palindrome (1122210122211).

The spelling of 1000100112210 in words is "one trillion, one hundred million, one hundred twelve thousand, two hundred ten".