201102102000 has 400 divisors, whose sum is σ = 731295200064. Its totient is φ = 53265600000.

The previous prime is 201102101951. The next prime is 201102102067. The reversal of 201102102000 is 201201102.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24457890 + ... + 24466110.

Almost surely, 2^201102102000 is an apocalyptic number.

201102102000 is a gapful number since it is divisible by the number (20) 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 201102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365647600032).

201102102000 is an abundant number, since it is smaller than the sum of its proper divisors (530193098064).

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

201102102000 is a wasteful number, since it uses less digits than its factorization.

201102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201102102000 its reverse (201201102), we get a palindrome (201303303102).

The spelling of 201102102000 in words is "two hundred one billion, one hundred two million, one hundred two thousand".