10121222100200 has 96 divisors (see below), whose sum is σ = 23649524458560. Its totient is φ = 4028270822400.

The previous prime is 10121222100163. The next prime is 10121222100217. The reversal of 10121222100200 is 200122212101.

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, 57124949 + ... + 57301851.

It is an arithmetic number, because the mean of its divisors is an integer number (246349213110).

Almost surely, 2^{10121222100200} is an apocalyptic number.

10121222100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121222100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824762229280).

10121222100200 is an abundant number, since it is smaller than the sum of its proper divisors (13528302358360).

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

10121222100200 is a wasteful number, since it uses less digits than its factorization.

10121222100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178347 (or 178338 counting only the distinct ones).

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

Adding to 10121222100200 its reverse (200122212101), we get a palindrome (10321344312301).

The spelling of 10121222100200 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred".