210022120101001 has 8 divisors (see below), whose sum is σ = 226186149094920. Its totient is φ = 193859302720512.

The previous prime is 210022120100987. The next prime is 210022120101019. The reversal of 210022120101001 is 100101021220012.

210022120101001 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 32372674710601 + 177649445390400 = 5689699^2 + 13328520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 210022120101001 - 2⁹ = 210022120100489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210022120101091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302543320 + ... + 303236713.

It is an arithmetic number, because the mean of its divisors is an integer number (28273268636865).

Almost surely, 2^{210022120101001} is an apocalyptic number.

It is an amenable number.

210022120101001 is a deficient number, since it is larger than the sum of its proper divisors (16164028993919).

210022120101001 is a wasteful number, since it uses less digits than its factorization.

210022120101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605806715.

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

Adding to 210022120101001 its reverse (100101021220012), we get a palindrome (310123141321013).

The spelling of 210022120101001 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty million, one hundred one thousand, one".