10022002211000 has 128 divisors (see below), whose sum is σ = 25279105924800. Its totient is φ = 3696964876800.

The previous prime is 10022002210951. The next prime is 10022002211119. The reversal of 10022002211000 is 11220022001.

It is a happy number.

It is a super-4 number, since 4×10022002211000⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13536419 + ... + 14257581.

Almost surely, 2^{10022002211000} is an apocalyptic number.

10022002211000 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 10022002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639552962400).

10022002211000 is an abundant number, since it is smaller than the sum of its proper divisors (15257103713800).

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

10022002211000 is a wasteful number, since it uses less digits than its factorization.

10022002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722266 (or 722252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022002211000 its reverse (11220022001), we get a palindrome (10033222233001).

The spelling of 10022002211000 in words is "ten trillion, twenty-two billion, two million, two hundred eleven thousand".