1010141041200 has 120 divisors (see below), whose sum is σ = 3288864911376. Its totient is φ = 264955008000.

The previous prime is 1010141041193. The next prime is 1010141041277. The reversal of 1010141041200 is 21401410101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010141041200.

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, 6826671 + ... + 6973070.

Almost surely, 2^{1010141041200} is an apocalyptic number.

1010141041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010141041200 is an abundant number, since it is smaller than the sum of its proper divisors (2278723870176).

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

1010141041200 is a wasteful number, since it uses less digits than its factorization.

1010141041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799823 (or 13799812 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1010141041200 its reverse (21401410101), we get a palindrome (1031542451301).

The spelling of 1010141041200 in words is "one trillion, ten billion, one hundred forty-one million, forty-one thousand, two hundred".