1011220211400 has 192 divisors, whose sum is σ = 3600614784000. Its totient is φ = 229974370560.

The previous prime is 1011220211377. The next prime is 1011220211483. The reversal of 1011220211400 is 41120221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011220211400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230859 + ... + 1440741.

It is an arithmetic number, because the mean of its divisors is an integer number (18753202000).

Almost surely, 2^{1011220211400} is an apocalyptic number.

1011220211400 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 1011220211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800307392000).

1011220211400 is an abundant number, since it is smaller than the sum of its proper divisors (2589394572600).

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

1011220211400 is a wasteful number, since it uses less digits than its factorization.

1011220211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210108 (or 1210099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1011220211400 its reverse (41120221101), we get a palindrome (1052340432501).

The spelling of 1011220211400 in words is "one trillion, eleven billion, two hundred twenty million, two hundred eleven thousand, four hundred".