10212221011001 has 6 divisors (see below), whose sum is σ = 10293265375290. Its totient is φ = 10131809805936.

The previous prime is 10212221010961. The next prime is 10212221011007. The reversal of 10212221011001 is 10011012221201.

10212221011001 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 only one way, i.e., 5433957277225 + 4778263733776 = 2331085^2 + 2185924^2 .

It is not a de Polignac number, because 10212221011001 - 2¹⁸ = 10212220748857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212221011007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 316563356 + ... + 316595613.

It is an arithmetic number, because the mean of its divisors is an integer number (1715544229215).

Almost surely, 2^{10212221011001} is an apocalyptic number.

It is an amenable number.

10212221011001 is a deficient number, since it is larger than the sum of its proper divisors (81044364289).

10212221011001 is an frugal number, since it uses more digits than its factorization.

10212221011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633159223 (or 633159096 counting only the distinct ones).

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

Adding to 10212221011001 its reverse (10011012221201), we get a palindrome (20223233232202).

The spelling of 10212221011001 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, eleven thousand, one".