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10010121110000 = 2454112910131069
BaseRepresentation
bin1001000110101010100110…
…1101101000000111110000
31022102221212112212220122022
42101222221231220013300
52303001212001010000
633142330335331012
72052131063352524
oct221525155500760
938387775786568
1010010121110000
11320a2a5448840
121158041380a68
13577c47c6abcb
142686c73b9d84
151255bd775585
hex91aa9b681f0

10010121110000 has 400 divisors, whose sum is σ = 27622097474400. Its totient is φ = 3479616000000.

The previous prime is 10010121109979. The next prime is 10010121110021. The reversal of 10010121110000 is 1112101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010121109979) and next prime (10010121110021).

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10010121110000.

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, 322174466 + ... + 322205534.

It is an arithmetic number, because the mean of its divisors is an integer number (69055243686).

Almost surely, 210010121110000 is an apocalyptic number.

10010121110000 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 10010121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811048737200).

10010121110000 is an abundant number, since it is smaller than the sum of its proper divisors (17611976364400).

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

10010121110000 is a wasteful number, since it uses less digits than its factorization.

10010121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31238 (or 31217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010121110000 its reverse (1112101001), we get a palindrome (10011233211001).

The spelling of 10010121110000 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred ten thousand".