10121122212100 has 18 divisors (see below), whose sum is σ = 21962835200474. Its totient is φ = 4048448884800.

The previous prime is 10121122212073. The next prime is 10121122212109. The reversal of 10121122212100 is 121222112101.

It can be written as a sum of positive squares in 3 ways, for example, as 143622808576 + 9977499403524 = 378976^2 + 3158718^2 .

It is a super-2 number, since 2×10121122212100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121122212109) by changing a digit.

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, 50605610961 + ... + 50605611160.

Almost surely, 2^{10121122212100} is an apocalyptic number.

10121122212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122212100 is an abundant number, since it is smaller than the sum of its proper divisors (11841712988374).

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

10121122212100 is a wasteful number, since it uses less digits than its factorization.

10121122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101211222135 (or 101211222128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121122212100 its reverse (121222112101), we get a palindrome (10242344324201).

Subtracting from 10121122212100 its reverse (121222112101), we obtain a palindrome (9999900099999).

It can be divided in two parts, 10121 and 122212100, that added together give a palindrome (122222221).

The spelling of 10121122212100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".