10211102221000 has 64 divisors (see below), whose sum is σ = 23930128974960. Its totient is φ = 4078261440000.

The previous prime is 10211102220989. The next prime is 10211102221007. The reversal of 10211102221000 is 12220111201.

It can be written as a sum of positive squares in 8 ways, for example, as 920030109124 + 9291072111876 = 959182^2 + 3048126^2 .

It is a super-2 number, since 2×10211102221000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211102221007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7062981 + ... + 8384980.

Almost surely, 2^{10211102221000} is an apocalyptic number.

10211102221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211102221000 is an abundant number, since it is smaller than the sum of its proper divisors (13719026753960).

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

10211102221000 is a wasteful number, since it uses less digits than its factorization.

10211102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448643 (or 15448629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211102221000 its reverse (12220111201), we get a palindrome (10223322332201).

The spelling of 10211102221000 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twenty-one thousand".