102211100340 has 96 divisors (see below), whose sum is σ = 289313047296. Its totient is φ = 26959595520.

The previous prime is 102211100293. The next prime is 102211100413. The reversal of 102211100340 is 43001112201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5435194 + ... + 5453966.

It is an arithmetic number, because the mean of its divisors is an integer number (3013677576).

Almost surely, 2^102211100340 is an apocalyptic number.

102211100340 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 102211100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144656523648).

102211100340 is an abundant number, since it is smaller than the sum of its proper divisors (187101946956).

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

102211100340 is a wasteful number, since it uses less digits than its factorization.

102211100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19769 (or 19767 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102211100340 its reverse (43001112201), we get a palindrome (145212212541).

The spelling of 102211100340 in words is "one hundred two billion, two hundred eleven million, one hundred thousand, three hundred forty".