102210010011102 has 128 divisors (see below), whose sum is σ = 239366260224000. Its totient is φ = 28489023184896.

The previous prime is 102210010011077. The next prime is 102210010011103. The reversal of 102210010011102 is 201110010012201.

It is a super-2 number, since 2×102210010011102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210010011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1951701174 + ... + 1951753542.

It is an arithmetic number, because the mean of its divisors is an integer number (1870048908000).

Almost surely, 2^{102210010011102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210010011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683130112000).

102210010011102 is an abundant number, since it is smaller than the sum of its proper divisors (137156250212898).

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

102210010011102 is a wasteful number, since it uses less digits than its factorization.

102210010011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55610.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210010011102 its reverse (201110010012201), we get a palindrome (303320020023303).

The spelling of 102210010011102 in words is "one hundred two trillion, two hundred ten billion, ten million, eleven thousand, one hundred two".