10211211221000 has 64 divisors (see below), whose sum is σ = 23896175500080. Its totient is φ = 4084152652800.

The previous prime is 10211211220967. The next prime is 10211211221027. The reversal of 10211211221000 is 12211211201.

It can be written as a sum of positive squares in 8 ways, for example, as 123612715396 + 10087598505604 = 351586^2 + 3176098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12088454 + ... + 12905546.

Almost surely, 2^{10211211221000} is an apocalyptic number.

10211211221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211211221000 is an abundant number, since it is smaller than the sum of its proper divisors (13684964279080).

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

10211211221000 is a wasteful number, since it uses less digits than its factorization.

10211211221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829611 (or 829597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211211221000 its reverse (12211211201), we get a palindrome (10223422432201).

The spelling of 10211211221000 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand".