10112220112100 has 36 divisors (see below), whose sum is σ = 22083285305844. Its totient is φ = 4019124420480.

The previous prime is 10112220112079. The next prime is 10112220112121. The reversal of 10112220112100 is 121102221101.

It is an interprime number because it is at equal distance from previous prime (10112220112079) and next prime (10112220112121).

It can be written as a sum of positive squares in 6 ways, for example, as 70964697664 + 10041255414436 = 266392^2 + 3168794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322029527 + ... + 322060926.

It is an arithmetic number, because the mean of its divisors is an integer number (613424591829).

Almost surely, 2^{10112220112100} is an apocalyptic number.

10112220112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112220112100 is an abundant number, since it is smaller than the sum of its proper divisors (11971065193744).

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

10112220112100 is a wasteful number, since it uses less digits than its factorization.

10112220112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644090624 (or 644090617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112220112100 its reverse (121102221101), we get a palindrome (10233322333201).

The spelling of 10112220112100 in words is "ten trillion, one hundred twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred".