10211221121000 has 32 divisors (see below), whose sum is σ = 23894257425480. Its totient is φ = 4084488448000.

The previous prime is 10211221120949. The next prime is 10211221121011. The reversal of 10211221121000 is 12112211201.

10211221121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4402552347076 + 5808668773924 = 2098226^2 + 2410118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5105609561 + ... + 5105611560.

Almost surely, 2^{10211221121000} is an apocalyptic number.

10211221121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211221121000 is an abundant number, since it is smaller than the sum of its proper divisors (13683036304480).

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

10211221121000 is a wasteful number, since it uses less digits than its factorization.

10211221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211221142 (or 10211221128 counting only the distinct ones).

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

Adding to 10211221121000 its reverse (12112211201), we get a palindrome (10223333332201).

The spelling of 10211221121000 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand".