102000001102110 has 192 divisors, whose sum is σ = 284675235324480. Its totient is φ = 25246773411840.

The previous prime is 102000001102067. The next prime is 102000001102121. The reversal of 102000001102110 is 11201100000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102000001102092 and 102000001102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1265295705 + ... + 1265376315.

It is an arithmetic number, because the mean of its divisors is an integer number (1482683517315).

Almost surely, 2^{102000001102110} is an apocalyptic number.

102000001102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000001102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142337617662240).

102000001102110 is an abundant number, since it is smaller than the sum of its proper divisors (182675234222370).

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

102000001102110 is a wasteful number, since it uses less digits than its factorization.

102000001102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92043 (or 92040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102000001102110 its reverse (11201100000201), we get a palindrome (113201101102311).

The spelling of 102000001102110 in words is "one hundred two trillion, one million, one hundred two thousand, one hundred ten".