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10201000012120 = 235193110136711681
BaseRepresentation
bin1001010001110001101011…
…1110110110100101011000
31100010012120020012211001201
42110130122332312211120
52314113122000341440
633410135200523544
72101666201302451
oct224343276664530
940105506184051
1010201000012120
113283246627115
1211890323205b4
1358cc476ba238
14273a33d62128
1512a54109c19a
hex9471afb6958

10201000012120 has 256 divisors, whose sum is σ = 25257343795200. Its totient is φ = 3693496320000.

The previous prime is 10201000012117. The next prime is 10201000012123. The reversal of 10201000012120 is 2121000010201.

It is an interprime number because it is at equal distance from previous prime (10201000012117) and next prime (10201000012123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201000012097 and 10201000012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201000012123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 873292680 + ... + 873304360.

It is an arithmetic number, because the mean of its divisors is an integer number (98661499200).

Almost surely, 210201000012120 is an apocalyptic number.

10201000012120 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 10201000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628671897600).

10201000012120 is an abundant number, since it is smaller than the sum of its proper divisors (15056343783080).

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

10201000012120 is a wasteful number, since it uses less digits than its factorization.

10201000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201000012120 its reverse (2121000010201), we get a palindrome (12322000022321).

The spelling of 10201000012120 in words is "ten trillion, two hundred one billion, twelve thousand, one hundred twenty".