1010111221200 has 240 divisors, whose sum is σ = 3278323048896. Its totient is φ = 265833984000.

The previous prime is 1010111221157. The next prime is 1010111221213. The reversal of 1010111221200 is 21221110101.

1010111221200 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 (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37922287 + ... + 37948913.

Almost surely, 2^{1010111221200} is an apocalyptic number.

1010111221200 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 1010111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639161524448).

1010111221200 is an abundant number, since it is smaller than the sum of its proper divisors (2268211827696).

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

1010111221200 is a wasteful number, since it uses less digits than its factorization.

1010111221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010111221200 its reverse (21221110101), we get a palindrome (1031332331301).

The spelling of 1010111221200 in words is "one trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".