100102000212102 has 64 divisors (see below), whose sum is σ = 233181603325440. Its totient is φ = 28053720175104.

The previous prime is 100102000212077. The next prime is 100102000212103. The reversal of 100102000212102 is 201212000201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000212103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875293 + ... + 14438535.

It is an arithmetic number, because the mean of its divisors is an integer number (3643462551960).

Almost surely, 2^{100102000212102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102000212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116590801662720).

100102000212102 is an abundant number, since it is smaller than the sum of its proper divisors (133079603113338).

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

100102000212102 is a wasteful number, since it uses less digits than its factorization.

100102000212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567197.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102000212102 its reverse (201212000201001), we get a palindrome (301314000413103).

The spelling of 100102000212102 in words is "one hundred trillion, one hundred two billion, two hundred twelve thousand, one hundred two".