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201202102101000 = 2335372111310392927

201202102101000 has 1536 divisors, whose sum is σ = 866243354296320. Its totient is φ = 38217118464000.

The previous prime is 201202102100933. The next prime is 201202102101029. The reversal of 201202102101000 is 101201202102.

Adding to 201202102101000 its reverse (101201202102), we get a palindrome (201303303303102).

It can be divided in two parts, 201202102 and 101000, that added together give a palindrome (201303102).

201202102101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012021021010002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2165116537 + ... + 2165209463.

It is an arithmetic number, because the mean of its divisors is an integer number (563960517120).

Almost surely, 2201202102101000 is an apocalyptic number.

201202102101000 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 201202102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433121677148160).

201202102101000 is an abundant number, since it is smaller than the sum of its proper divisors (665041252195320).

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

201202102101000 is a wasteful number, since it uses less digits than its factorization.

201202102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93092 (or 93071 counting only the distinct ones).

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

The spelling of 201202102101000 in words is "two hundred one trillion, two hundred two billion, one hundred two million, one hundred one thousand".