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1001100210000 = 24354116774481

1001100210000 has 400 divisors, whose sum is σ = 3531469917888. Its totient is φ = 242278400000.

The previous prime is 1001100209983. The next prime is 1001100210023. The reversal of 1001100210000 is 120011001.

1001100210000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 223407760 + ... + 223412240.

Almost surely, 21001100210000 is an apocalyptic number.

1001100210000 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 1001100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765734958944).

1001100210000 is an abundant number, since it is smaller than the sum of its proper divisors (2530369707888).

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

1001100210000 is a wasteful number, since it uses less digits than its factorization.

1001100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001100210000 its reverse (120011001), we get a palindrome (1001220221001).

The spelling of 1001100210000 in words is "one trillion, one billion, one hundred million, two hundred ten thousand".