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101000001010000 = 2454171015882353
BaseRepresentation
bin10110111101101111100101…
…001011101011100101010000
3111020121111122201122021020011
4112331233211023223211100
5101214241000224310000
6554450432050524304
730163003115366011
oct2675574513534520
9436544581567204
10101000001010000
112a1aa950561984
12b3b2587b96694
13444834a6a6401
141ad25d743d008
15ba23961852ba
hex5bdbe52eb950

101000001010000 has 200 divisors, whose sum is σ = 261478847066184. Its totient is φ = 37647052800000.

The previous prime is 101000001009989. The next prime is 101000001010001. The reversal of 101000001010000 is 10100000101.

It can be written as a sum of positive squares in 20 ways, for example, as 59334421917456 + 41665579092544 = 7702884^2 + 6454888^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14228824 + ... + 20111176.

Almost surely, 2101000001010000 is an apocalyptic number.

101000001010000 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 101000001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130739423533092).

101000001010000 is an abundant number, since it is smaller than the sum of its proper divisors (160478846056184).

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

101000001010000 is a wasteful number, since it uses less digits than its factorization.

101000001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882499 (or 5882478 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000001010000 its reverse (10100000101), we get a palindrome (101010101010101).

101000001010000 divided by its reverse (10100000101) gives a 4-th power (10000 = 104).

The spelling of 101000001010000 in words is "one hundred one trillion, one million, ten thousand".