1010222011200 has 336 divisors, whose sum is σ = 3424431072384. Its totient is φ = 260534476800.

The previous prime is 1010222011193. The next prime is 1010222011217. The reversal of 1010222011200 is 21102220101.

1010222011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1010222011200³ (a number of 37 digits) contains 333 as substring.

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, 29642170 + ... + 29676230.

It is an arithmetic number, because the mean of its divisors is an integer number (10191759144).

Almost surely, 2^{1010222011200} is an apocalyptic number.

1010222011200 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 1010222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712215536192).

1010222011200 is an abundant number, since it is smaller than the sum of its proper divisors (2414209061184).

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

1010222011200 is a wasteful number, since it uses less digits than its factorization.

1010222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34290 (or 34275 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010222011200 its reverse (21102220101), we get a palindrome (1031324231301).

The spelling of 1010222011200 in words is "one trillion, ten billion, two hundred twenty-two million, eleven thousand, two hundred".