102001001102000 has 1280 divisors, whose sum is σ = 341576953675776. Its totient is φ = 28435507200000.

The previous prime is 102001001101997. The next prime is 102001001102003. The reversal of 102001001102000 is 201100100201.

It is an interprime number because it is at equal distance from previous prime (102001001101997) and next prime (102001001102003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102001001102003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9503488634 + ... + 9503499366.

Almost surely, 2^{102001001102000} is an apocalyptic number.

102001001102000 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 102001001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170788476837888).

102001001102000 is an abundant number, since it is smaller than the sum of its proper divisors (239575952573776).

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

102001001102000 is a wasteful number, since it uses less digits than its factorization.

102001001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102001001102000 its reverse (201100100201), we get a palindrome (102202101202201).

The spelling of 102001001102000 in words is "one hundred two trillion, one billion, one million, one hundred two thousand".