100002102122000 has 320 divisors, whose sum is σ = 269567906549760. Its totient is φ = 35631433728000.

The previous prime is 100002102121997. The next prime is 100002102122057. The reversal of 100002102122000 is 221201200001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284342261 + ... + 284693739.

It is an arithmetic number, because the mean of its divisors is an integer number (842399707968).

Almost surely, 2^{100002102122000} is an apocalyptic number.

100002102122000 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 100002102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134783953274880).

100002102122000 is an abundant number, since it is smaller than the sum of its proper divisors (169565804427760).

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

100002102122000 is a wasteful number, since it uses less digits than its factorization.

100002102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351899 (or 351883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002102122000 its reverse (221201200001), we get a palindrome (100223303322001).

The spelling of 100002102122000 in words is "one hundred trillion, two billion, one hundred two million, one hundred twenty-two thousand".