10201101012211 has 8 divisors (see below), whose sum is σ = 10204208812224. Its totient is φ = 10197993516480.

The previous prime is 10201101012209. The next prime is 10201101012217. The reversal of 10201101012211 is 11221010110201.

It is a happy number.

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 10201101012211 - 2¹ = 10201101012209 is a prime.

It is a super-2 number, since 2×10201101012211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201101012191 and 10201101012200.

It is not an unprimeable number, because it can be changed into a prime (10201101012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79265526 + ... + 79394116.

It is an arithmetic number, because the mean of its divisors is an integer number (1275526101528).

Almost surely, 2^{10201101012211} is an apocalyptic number.

10201101012211 is a deficient number, since it is larger than the sum of its proper divisors (3107800013).

10201101012211 is a wasteful number, since it uses less digits than its factorization.

10201101012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152141.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201101012211 its reverse (11221010110201), we get a palindrome (21422111122412).

The spelling of 10201101012211 in words is "ten trillion, two hundred one billion, one hundred one million, twelve thousand, two hundred eleven".