10211020101101 has 8 divisors (see below), whose sum is σ = 10345025304600. Its totient is φ = 10077887896128.

The previous prime is 10211020101091. The next prime is 10211020101193. The reversal of 10211020101101 is 10110102011201.

It can be written as a sum of positive squares in 4 ways, for example, as 40348756900 + 10170671344201 = 200870^2 + 3189149^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211020101101 is a prime.

It is a super-2 number, since 2×10211020101101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211020106101) 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, 218226086 + ... + 218272871.

It is an arithmetic number, because the mean of its divisors is an integer number (1293128163075).

Almost surely, 2^{10211020101101} is an apocalyptic number.

It is an amenable number.

10211020101101 is a deficient number, since it is larger than the sum of its proper divisors (134005203499).

10211020101101 is a wasteful number, since it uses less digits than its factorization.

10211020101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436499263.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211020101101 its reverse (10110102011201), we get a palindrome (20321122112302).

The spelling of 10211020101101 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred one thousand, one hundred one".