10201002122011 has 8 divisors (see below), whose sum is σ = 10540380222848. Its totient is φ = 9862268616000.

The previous prime is 10201002121997. The next prime is 10201002122053. The reversal of 10201002122011 is 11022120010201.

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 10201002122011 - 2³⁷ = 10063563168539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201002121982 and 10201002122000.

It is not an unprimeable number, because it can be changed into a prime (10201002122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161116530 + ... + 161179831.

It is an arithmetic number, because the mean of its divisors is an integer number (1317547527856).

Almost surely, 2^{10201002122011} is an apocalyptic number.

10201002122011 is a deficient number, since it is larger than the sum of its proper divisors (339378100837).

10201002122011 is a wasteful number, since it uses less digits than its factorization.

10201002122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322297413.

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

Adding to 10201002122011 its reverse (11022120010201), we get a palindrome (21223122132212).

The spelling of 10201002122011 in words is "ten trillion, two hundred one billion, two million, one hundred twenty-two thousand, eleven".