101111011201200 has 480 divisors, whose sum is σ = 434876343132672. Its totient is φ = 19393920000000.

The previous prime is 101111011201183. The next prime is 101111011201201. The reversal of 101111011201200 is 2102110111101.

It is a super-2 number, since 2×101111011201200² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101111011201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40886301 + ... + 43288700.

Almost surely, 2^{101111011201200} is an apocalyptic number.

101111011201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111011201200 is an abundant number, since it is smaller than the sum of its proper divisors (333765331931472).

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

101111011201200 is a wasteful number, since it uses less digits than its factorization.

101111011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84175053 (or 84175042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111011201200 its reverse (2102110111101), we get a palindrome (103213121312301).

The spelling of 101111011201200 in words is "one hundred one trillion, one hundred eleven billion, eleven million, two hundred one thousand, two hundred".