1022101011200 has 216 divisors, whose sum is σ = 2642941840896. Its totient is φ = 390607360000.

The previous prime is 1022101011149. The next prime is 1022101011203. The reversal of 1022101011200 is 21101012201.

It is a super-3 number, since 3×1022101011200³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022101011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142927625 + ... + 142934775.

It is an arithmetic number, because the mean of its divisors is an integer number (12235841856).

Almost surely, 2^{1022101011200} is an apocalyptic number.

1022101011200 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 1022101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321470920448).

1022101011200 is an abundant number, since it is smaller than the sum of its proper divisors (1620840829696).

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

1022101011200 is an equidigital number, since it uses as much as digits as its factorization.

1022101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8152 counting only the distinct ones).

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

Adding to 1022101011200 its reverse (21101012201), we get a palindrome (1043202023401).

The spelling of 1022101011200 in words is "one trillion, twenty-two billion, one hundred one million, eleven thousand, two hundred".