1011121020200 has 96 divisors (see below), whose sum is σ = 2474942412000. Its totient is φ = 383106412800.

The previous prime is 1011121020191. The next prime is 1011121020263. The reversal of 1011121020200 is 20201211101.

1011121020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34531166 + ... + 34560434.

It is an arithmetic number, because the mean of its divisors is an integer number (25780650125).

Almost surely, 2^{1011121020200} is an apocalyptic number.

1011121020200 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 1011121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237471206000).

1011121020200 is an abundant number, since it is smaller than the sum of its proper divisors (1463821391800).

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

1011121020200 is a wasteful number, since it uses less digits than its factorization.

1011121020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38395 (or 38386 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011121020200 its reverse (20201211101), we get a palindrome (1031322231301).

The spelling of 1011121020200 in words is "one trillion, eleven billion, one hundred twenty-one million, twenty thousand, two hundred".