20101222012100 has 18 divisors (see below), whose sum is σ = 43619651766474. Its totient is φ = 8040488804800.

The previous prime is 20101222012049. The next prime is 20101222012117. The reversal of 20101222012100 is 121022210102.

20101222012100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5893931218564 + 14207290793536 = 2427742^2 + 3769256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100506109961 + ... + 100506110160.

Almost surely, 2^{20101222012100} is an apocalyptic number.

20101222012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101222012100 is an abundant number, since it is smaller than the sum of its proper divisors (23518429754374).

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

20101222012100 is a wasteful number, since it uses less digits than its factorization.

20101222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201012220135 (or 201012220128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101222012100 its reverse (121022210102), we get a palindrome (20222244222202).

The spelling of 20101222012100 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, twelve thousand, one hundred".