10121121222100 has 72 divisors (see below), whose sum is σ = 25250682602880. Its totient is φ = 3449319630720.

The previous prime is 10121121222077. The next prime is 10121121222109. The reversal of 10121121222100 is 122212112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43172755 + ... + 43406554.

It is an arithmetic number, because the mean of its divisors is an integer number (350703925040).

Almost surely, 2^{10121121222100} is an apocalyptic number.

10121121222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121222100 is an abundant number, since it is smaller than the sum of its proper divisors (15129561380780).

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

10121121222100 is a wasteful number, since it uses less digits than its factorization.

10121121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86579497 (or 86579490 counting only the distinct ones).

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

Adding to 10121121222100 its reverse (122212112101), we get a palindrome (10243333334201).

The spelling of 10121121222100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".