102102212011100 has 144 divisors (see below), whose sum is σ = 256882044496896. Its totient is φ = 34499691072000.

The previous prime is 102102212011069. The next prime is 102102212011159. The reversal of 102102212011100 is 1110212201201.

It is a super-2 number, since 2×102102212011100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 124886249 + ... + 125701151.

It is an arithmetic number, because the mean of its divisors is an integer number (1783903086784).

Almost surely, 2^{102102212011100} is an apocalyptic number.

102102212011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102212011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128441022248448).

102102212011100 is an abundant number, since it is smaller than the sum of its proper divisors (154779832485796).

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

102102212011100 is a wasteful number, since it uses less digits than its factorization.

102102212011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817516 (or 817509 counting only the distinct ones).

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

Adding to 102102212011100 its reverse (1110212201201), we get a palindrome (103212424212301).

The spelling of 102102212011100 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, eleven thousand, one hundred".