10002122112201 has 8 divisors (see below), whose sum is σ = 13368769572960. Its totient is φ = 6651778029792.

The previous prime is 10002122112187. The next prime is 10002122112209. The reversal of 10002122112201 is 10221122120001.

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

It is not a de Polignac number, because 10002122112201 - 2¹⁴ = 10002122095817 is a prime.

It is a super-3 number, since 3×10002122112201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002122112209) 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, 4075843155 + ... + 4075845608.

It is an arithmetic number, because the mean of its divisors is an integer number (1671096196620).

Almost surely, 2^{10002122112201} is an apocalyptic number.

It is an amenable number.

10002122112201 is a deficient number, since it is larger than the sum of its proper divisors (3366647460759).

10002122112201 is an equidigital number, since it uses as much as digits as its factorization.

10002122112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151689175.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002122112201 its reverse (10221122120001), we get a palindrome (20223244232202).

The spelling of 10002122112201 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".