10211001022001 has 8 divisors (see below), whose sum is σ = 10996601527464. Its totient is φ = 9425420357760.

The previous prime is 10211001021931. The next prime is 10211001022007. The reversal of 10211001022001 is 10022010011201.

10211001022001 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 190287888400 + 10020713133601 = 436220^2 + 3165551^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10211001022001 - 2²² = 10210996827697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211001022007) 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, 3882770 + ... + 5958011.

It is an arithmetic number, because the mean of its divisors is an integer number (1374575190933).

Almost surely, 2^{10211001022001} is an apocalyptic number.

It is an amenable number.

10211001022001 is a deficient number, since it is larger than the sum of its proper divisors (785600505463).

10211001022001 is an equidigital number, since it uses as much as digits as its factorization.

10211001022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920611.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211001022001 its reverse (10022010011201), we get a palindrome (20233011033202).

The spelling of 10211001022001 in words is "ten trillion, two hundred eleven billion, one million, twenty-two thousand, one".