10222101144000 has 672 divisors, whose sum is σ = 36975872606400. Its totient is φ = 2695512268800.

The previous prime is 10222101143971. The next prime is 10222101144053. The reversal of 10222101144000 is 44110122201.

10222101144000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 210 + 11 + 440 + 0 + 0 = 666.

It is a super-2 number, since 2×10222101144000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2692150102 + ... + 2692153898.

It is an arithmetic number, because the mean of its divisors is an integer number (55023619950).

Almost surely, 2^{10222101144000} is an apocalyptic number.

10222101144000 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 10222101144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487936303200).

10222101144000 is an abundant number, since it is smaller than the sum of its proper divisors (26753771462400).

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

10222101144000 is a wasteful number, since it uses less digits than its factorization.

10222101144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222101144000 its reverse (44110122201), we get a palindrome (10266211266201).

The spelling of 10222101144000 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, one hundred forty-four thousand".