10211022120221 has 32 divisors (see below), whose sum is σ = 11654167805280. Its totient is φ = 8862867062784.

The previous prime is 10211022120217. The next prime is 10211022120253. The reversal of 10211022120221 is 12202122011201.

It can be written as a sum of positive squares in 16 ways, for example, as 1306700472100 + 8904321648121 = 1143110^2 + 2984011^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211022120221 - 2² = 10211022120217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10211022120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211022120281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1832227991 + ... + 1832233563.

It is an arithmetic number, because the mean of its divisors is an integer number (364192743915).

Almost surely, 2^{10211022120221} is an apocalyptic number.

It is an amenable number.

10211022120221 is a deficient number, since it is larger than the sum of its proper divisors (1443145685059).

10211022120221 is a wasteful number, since it uses less digits than its factorization.

10211022120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10211022120221 its reverse (12202122011201), we get a palindrome (22413144131422).

The spelling of 10211022120221 in words is "ten trillion, two hundred eleven billion, twenty-two million, one hundred twenty thousand, two hundred twenty-one".