101211021222001 has 8 divisors (see below), whose sum is σ = 102111410295144. Its totient is φ = 100310714891520.

The previous prime is 101211021221977. The next prime is 101211021222089. The reversal of 101211021222001 is 100222120112101.

It can be written as a sum of positive squares in 4 ways, for example, as 4986222010225 + 96224799211776 = 2232985^2 + 9809424^2 .

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 101211021222001 - 2²⁷ = 101210887004273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211021222401) 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, 18227086 + ... + 23122471.

It is an arithmetic number, because the mean of its divisors is an integer number (12763926286893).

Almost surely, 2^{101211021222001} is an apocalyptic number.

It is an amenable number.

101211021222001 is a deficient number, since it is larger than the sum of its proper divisors (900389073143).

101211021222001 is a wasteful number, since it uses less digits than its factorization.

101211021222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41371331.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211021222001 its reverse (100222120112101), we get a palindrome (201433141334102).

The spelling of 101211021222001 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, two hundred twenty-two thousand, one".