10022002221000 has 512 divisors, whose sum is σ = 40679277649920. Its totient is φ = 1991949696000.

The previous prime is 10022002220939. The next prime is 10022002221019. The reversal of 10022002221000 is 12220022001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4369842 + ... + 6256158.

It is an arithmetic number, because the mean of its divisors is an integer number (79451714160).

Almost surely, 2^{10022002221000} is an apocalyptic number.

10022002221000 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 10022002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339638824960).

10022002221000 is an abundant number, since it is smaller than the sum of its proper divisors (30657275428920).

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

10022002221000 is a wasteful number, since it uses less digits than its factorization.

10022002221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886382 (or 1886368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022002221000 its reverse (12220022001), we get a palindrome (10034222243001).

It can be divided in two parts, 1002 and 2002221000, that added together give a palindrome (2002222002).

The spelling of 10022002221000 in words is "ten trillion, twenty-two billion, two million, two hundred twenty-one thousand".