10211102102201 has 64 divisors (see below), whose sum is σ = 13802264179200. Its totient is φ = 7295261276160.

The previous prime is 10211102102191. The next prime is 10211102102237. The reversal of 10211102102201 is 10220120111201.

It is not a de Polignac number, because 10211102102201 - 2²² = 10211097907897 is a prime.

It is a super-2 number, since 2×10211102102201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211102102281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511850375 + ... + 511870323.

It is an arithmetic number, because the mean of its divisors is an integer number (215660377800).

Almost surely, 2^{10211102102201} is an apocalyptic number.

10211102102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211102102201 is a deficient number, since it is larger than the sum of its proper divisors (3591162076999).

10211102102201 is a wasteful number, since it uses less digits than its factorization.

10211102102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23394.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211102102201 its reverse (10220120111201), we get a palindrome (20431222213402).

The spelling of 10211102102201 in words is "ten trillion, two hundred eleven billion, one hundred two million, one hundred two thousand, two hundred one".