10102102112211 has 32 divisors (see below), whose sum is σ = 14080174645248. Its totient is φ = 6437869982880.

The previous prime is 10102102112209. The next prime is 10102102112251. The reversal of 10102102112211 is 11221120120101.

It is a happy number.

It is not a de Polignac number, because 10102102112211 - 2¹ = 10102102112209 is a prime.

It is a super-3 number, since 3×10102102112211³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102102112251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644245 + ... + 5786598.

It is an arithmetic number, because the mean of its divisors is an integer number (440005457664).

Almost surely, 2^{10102102112211} is an apocalyptic number.

10102102112211 is a deficient number, since it is larger than the sum of its proper divisors (3978072533037).

10102102112211 is a wasteful number, since it uses less digits than its factorization.

10102102112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431071.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102102112211 its reverse (11221120120101), we get a palindrome (21323222232312).

The spelling of 10102102112211 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, two hundred eleven".