10111002001200 has 300 divisors, whose sum is σ = 38422140122520. Its totient is φ = 2537663109120.

The previous prime is 10111002001181. The next prime is 10111002001207. The reversal of 10111002001200 is 210020011101.

It is a happy number.

10111002001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×10111002001200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111002001207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8627670 + ... + 9729269.

Almost surely, 2^{10111002001200} is an apocalyptic number.

10111002001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002001200 is an abundant number, since it is smaller than the sum of its proper divisors (28311138121320).

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

10111002001200 is a wasteful number, since it uses less digits than its factorization.

10111002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18356986 (or 18356966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10111002001200 its reverse (210020011101), we get a palindrome (10321022012301).

The spelling of 10111002001200 in words is "ten trillion, one hundred eleven billion, two million, one thousand, two hundred".