102111100210200 has 192 divisors, whose sum is σ = 322147937462400. Its totient is φ = 26751268556800.

The previous prime is 102111100210127. The next prime is 102111100210267. The reversal of 102111100210200 is 2012001111201.

It is a super-2 number, since 2×102111100210200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3186760 + ... + 14641640.

It is an arithmetic number, because the mean of its divisors is an integer number (1677853840950).

Almost surely, 2^{102111100210200} is an apocalyptic number.

102111100210200 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 102111100210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161073968731200).

102111100210200 is an abundant number, since it is smaller than the sum of its proper divisors (220036837252200).

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

102111100210200 is a wasteful number, since it uses less digits than its factorization.

102111100210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455162 (or 11455153 counting only the distinct ones).

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

Adding to 102111100210200 its reverse (2012001111201), we get a palindrome (104123101321401).

The spelling of 102111100210200 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, two hundred ten thousand, two hundred".