102011120110200 has 768 divisors, whose sum is σ = 367800699248640. Its totient is φ = 22908637440000.

The previous prime is 102011120110199. The next prime is 102011120110201. The reversal of 102011120110200 is 2011021110201.

It is an interprime number because it is at equal distance from previous prime (102011120110199) and next prime (102011120110201).

It is a super-2 number, since 2×102011120110200² (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 not an unprimeable number, because it can be changed into a prime (102011120110201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 68786998659 + ... + 68787000141.

It is an arithmetic number, because the mean of its divisors is an integer number (478907160480).

Almost surely, 2^{102011120110200} is an apocalyptic number.

102011120110200 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 102011120110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183900349624320).

102011120110200 is an abundant number, since it is smaller than the sum of its proper divisors (265789579138440).

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

102011120110200 is a wasteful number, since it uses less digits than its factorization.

102011120110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2739 counting only the distinct ones).

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

Adding to 102011120110200 its reverse (2011021110201), we get a palindrome (104022141220401).

The spelling of 102011120110200 in words is "one hundred two trillion, eleven billion, one hundred twenty million, one hundred ten thousand, two hundred".