10121222112100 has 72 divisors (see below), whose sum is σ = 24148352406528. Its totient is φ = 3651464476800.

The previous prime is 10121222112037. The next prime is 10121222112119. The reversal of 10121222112100 is 121122212101.

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, 36085147 + ... + 36364546.

It is an arithmetic number, because the mean of its divisors is an integer number (335393783424).

Almost surely, 2^{10121222112100} is an apocalyptic number.

10121222112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121222112100 is an abundant number, since it is smaller than the sum of its proper divisors (14027130294428).

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

10121222112100 is a wasteful number, since it uses less digits than its factorization.

10121222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72449845 (or 72449838 counting only the distinct ones).

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

Adding to 10121222112100 its reverse (121122212101), we get a palindrome (10242344324201).

The spelling of 10121222112100 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".