10111212122400 has 432 divisors, whose sum is σ = 36283984551360. Its totient is φ = 2649091737600.

The previous prime is 10111212122377. The next prime is 10111212122461. The reversal of 10111212122400 is 422121211101.

10111212122400 is a `hidden beast` number, since 10 + 1 + 112 + 121 + 22 + 400 = 666.

It is a super-2 number, since 2×10111212122400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108118861 + ... + 108212339.

It is an arithmetic number, because the mean of its divisors is an integer number (83990704980).

Almost surely, 2^{10111212122400} is an apocalyptic number.

10111212122400 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 10111212122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141992275680).

10111212122400 is an abundant number, since it is smaller than the sum of its proper divisors (26172772428960).

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

10111212122400 is a wasteful number, since it uses less digits than its factorization.

10111212122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93769 (or 93753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10111212122400 its reverse (422121211101), we get a palindrome (10533333333501).

The spelling of 10111212122400 in words is "ten trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, four hundred".