10011151269200 has 120 divisors (see below), whose sum is σ = 24642678767616. Its totient is φ = 3906115456000.

The previous prime is 10011151269167. The next prime is 10011151269209. The reversal of 10011151269200 is 296215111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011151269209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100695515 + ... + 100794885.

Almost surely, 2^{10011151269200} is an apocalyptic number.

10011151269200 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 10011151269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321339383808).

10011151269200 is an abundant number, since it is smaller than the sum of its proper divisors (14631527498416).

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

10011151269200 is a wasteful number, since it uses less digits than its factorization.

10011151269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105573 (or 105562 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 10011151269200 in words is "ten trillion, eleven billion, one hundred fifty-one million, two hundred sixty-nine thousand, two hundred".