102211120100211 has 16 divisors (see below), whose sum is σ = 137384973312000. Its totient is φ = 67589244289728.

The previous prime is 102211120100171. The next prime is 102211120100237. The reversal of 102211120100211 is 112001021112201.

It is a happy number.

It is not a de Polignac number, because 102211120100211 - 2¹⁸ = 102211119838067 is a prime.

It is a super-3 number, since 3×102211120100211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102211120140211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27960786 + ... + 31404263.

It is an arithmetic number, because the mean of its divisors is an integer number (8586560832000).

Almost surely, 2^{102211120100211} is an apocalyptic number.

102211120100211 is a deficient number, since it is larger than the sum of its proper divisors (35173853211789).

102211120100211 is a wasteful number, since it uses less digits than its factorization.

102211120100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59369698.

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

Adding to 102211120100211 its reverse (112001021112201), we get a palindrome (214212141212412).

The spelling of 102211120100211 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, one hundred thousand, two hundred eleven".