10011122114200 has 48 divisors (see below), whose sum is σ = 23307186124080. Its totient is φ = 3999059218560.

The previous prime is 10011122114197. The next prime is 10011122114239. The reversal of 10011122114200 is 241122111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33536199 + ... + 33833398.

It is an arithmetic number, because the mean of its divisors is an integer number (485566377585).

Almost surely, 2^{10011122114200} is an apocalyptic number.

10011122114200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122114200 is an abundant number, since it is smaller than the sum of its proper divisors (13296064009880).

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

10011122114200 is a wasteful number, since it uses less digits than its factorization.

10011122114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67370356 (or 67370347 counting only the distinct ones).

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

Adding to 10011122114200 its reverse (241122111001), we get a palindrome (10252244225201).

The spelling of 10011122114200 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred".