10141334221200 has 360 divisors, whose sum is σ = 40202551925568. Its totient is φ = 2139709777920.

The previous prime is 10141334221147. The next prime is 10141334221211. The reversal of 10141334221200 is 212243314101.

10141334221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2152299 + ... + 4991498.

Almost surely, 2^{10141334221200} is an apocalyptic number.

10141334221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141334221200 is an abundant number, since it is smaller than the sum of its proper divisors (30061217704368).

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

10141334221200 is a wasteful number, since it uses less digits than its factorization.

10141334221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143851 (or 7143827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10141334221200 its reverse (212243314101), we get a palindrome (10353577535301).

The spelling of 10141334221200 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million, two hundred twenty-one thousand, two hundred".