102211120212110 has 64 divisors (see below), whose sum is σ = 226446373222272. Its totient is φ = 32346787608576.

The previous prime is 102211120212109. The next prime is 102211120212137. The reversal of 102211120212110 is 11212021112201.

It is a super-3 number, since 3×102211120212110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19637954 + ... + 24291386.

It is an arithmetic number, because the mean of its divisors is an integer number (3538224581598).

Almost surely, 2^{102211120212110} is an apocalyptic number.

102211120212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211120212110 is an abundant number, since it is smaller than the sum of its proper divisors (124235253010162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102211120212110 is a wasteful number, since it uses less digits than its factorization.

102211120212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677597.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102211120212110 its reverse (11212021112201), we get a palindrome (113423141324311).

Subtracting from 102211120212110 its reverse (11212021112201), we obtain a palindrome (90999099099909).

The spelling of 102211120212110 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, one hundred ten".