10201113120000 has 2160 divisors, whose sum is σ = 39501043819776. Its totient is φ = 2331648000000.

The previous prime is 10201113119987. The next prime is 10201113120001. The reversal of 10201113120000 is 2131110201.

It is a super-2 number, since 2×10201113120000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201113120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 101001119950 + ... + 101001120050.

Almost surely, 2^{10201113120000} is an apocalyptic number.

10201113120000 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 10201113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750521909888).

10201113120000 is an abundant number, since it is smaller than the sum of its proper divisors (29299930699776).

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

10201113120000 is a wasteful number, since it uses less digits than its factorization.

10201113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10201113120000 its reverse (2131110201), we get a palindrome (10203244230201).

The spelling of 10201113120000 in words is "ten trillion, two hundred one billion, one hundred thirteen million, one hundred twenty thousand".