10102010211101 has 8 divisors (see below), whose sum is σ = 10284076467000. Its totient is φ = 9921467522560.

The previous prime is 10102010211079. The next prime is 10102010211113. The reversal of 10102010211101 is 10111201020101.

10102010211101 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 419793847225 + 9682216363876 = 647915^2 + 3111626^2 .

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 10102010211101 - 2³⁴ = 10084830341917 is a prime.

It is a super-2 number, since 2×10102010211101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102010211121) 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, 380878460 + ... + 380904981.

It is an arithmetic number, because the mean of its divisors is an integer number (1285509558375).

Almost surely, 2^{10102010211101} is an apocalyptic number.

It is an amenable number.

10102010211101 is a deficient number, since it is larger than the sum of its proper divisors (182066255899).

10102010211101 is an equidigital number, since it uses as much as digits as its factorization.

10102010211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761783679.

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

Adding to 10102010211101 its reverse (10111201020101), we get a palindrome (20213211231202).

The spelling of 10102010211101 in words is "ten trillion, one hundred two billion, ten million, two hundred eleven thousand, one hundred one".