10212112101100 has 72 divisors (see below), whose sum is σ = 27274194805088. Its totient is φ = 3231965145600.

The previous prime is 10212112101097. The next prime is 10212112101127. The reversal of 10212112101100 is 110121121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561095961 + ... + 561114160.

Almost surely, 2^{10212112101100} is an apocalyptic number.

10212112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112101100 is an abundant number, since it is smaller than the sum of its proper divisors (17062082703988).

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

10212112101100 is a wasteful number, since it uses less digits than its factorization.

10212112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122210155 (or 1122210148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10212112101100 its reverse (110121121201), we get a palindrome (10322233222301).

The spelling of 10212112101100 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred one thousand, one hundred".