1011201001200 has 180 divisors, whose sum is σ = 3779083027720. Its totient is φ = 248911004160.

The previous prime is 1011201001171. The next prime is 1011201001207. The reversal of 1011201001200 is 21001021101.

It is a happy number.

1011201001200 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 (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201001207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10756630 + ... + 10850229.

Almost surely, 2^{1011201001200} is an apocalyptic number.

1011201001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011201001200 is an abundant number, since it is smaller than the sum of its proper divisors (2767882026520).

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

1011201001200 is a wasteful number, since it uses less digits than its factorization.

1011201001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21606896 (or 21606882 counting only the distinct ones).

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

Adding to 1011201001200 its reverse (21001021101), we get a palindrome (1032202022301).

The spelling of 1011201001200 in words is "one trillion, eleven billion, two hundred one million, one thousand, two hundred".