12212100101000 has 64 divisors (see below), whose sum is σ = 28590238338480. Its totient is φ = 4882459852800.

The previous prime is 12212100100979. The next prime is 12212100101027. The reversal of 12212100101000 is 10100121221.

It can be written as a sum of positive squares in 8 ways, for example, as 927835150564 + 11284264950436 = 963242^2 + 3359206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921209 + ... + 5027208.

Almost surely, 2^{12212100101000} is an apocalyptic number.

12212100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212100101000 is an abundant number, since it is smaller than the sum of its proper divisors (16378138237480).

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

12212100101000 is a wasteful number, since it uses less digits than its factorization.

12212100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950491 (or 5950477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12212100101000 its reverse (10100121221), we get a palindrome (12222200222221).

The spelling of 12212100101000 in words is "twelve trillion, two hundred twelve billion, one hundred million, one hundred one thousand".