10211222112100 has 36 divisors (see below), whose sum is σ = 22158983328048. Its totient is φ = 4084372468000.

The previous prime is 10211222112071. The next prime is 10211222112139. The reversal of 10211222112100 is 121122211201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2116155 + ... + 4990045.

It is an arithmetic number, because the mean of its divisors is an integer number (615527314668).

Almost surely, 2^{10211222112100} is an apocalyptic number.

10211222112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211222112100 is an abundant number, since it is smaller than the sum of its proper divisors (11947761215948).

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

10211222112100 is a wasteful number, since it uses less digits than its factorization.

10211222112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909436 (or 2909429 counting only the distinct ones).

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

Adding to 10211222112100 its reverse (121122211201), we get a palindrome (10332344323301).

The spelling of 10211222112100 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".