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110120101201 = 11223297318691
BaseRepresentation
bin110011010001110101…
…0110110010101010001
3101112020110101202020201
41212203222312111101
53301011221214301
6122331035535201
710645610262505
oct1464352662521
9345213352221
10110120101201
1142779a20a00
1219412bba501
13a4cc35abc6
145489128305
152ce791d201
hex19a3ab6551

110120101201 has 48 divisors (see below), whose sum is σ = 132455998080. Its totient is φ = 91183276800.

The previous prime is 110120101193. The next prime is 110120101243. The reversal of 110120101201 is 102101021011.

It is not a de Polignac number, because 110120101201 - 23 = 110120101193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110120101271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5882266 + ... + 5900956.

It is an arithmetic number, because the mean of its divisors is an integer number (2759499960).

Almost surely, 2110120101201 is an apocalyptic number.

110120101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110120101201 is a deficient number, since it is larger than the sum of its proper divisors (22335896879).

110120101201 is a wasteful number, since it uses less digits than its factorization.

110120101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110120101201 its reverse (102101021011), we get a palindrome (212221122212).

The spelling of 110120101201 in words is "one hundred ten billion, one hundred twenty million, one hundred one thousand, two hundred one".

Divisors: 1 11 23 29 73 121 253 319 667 803 1679 2117 2783 3509 7337 8833 18469 18691 23287 48691 80707 203159 205601 256157 429893 535601 542039 1364443 2261611 4728823 5891611 5962429 12466897 15008873 31382189 39568847 52017053 65586719 137135867 165097603 345204079 435257317 910083481 1508494537 3797244869 4787830487 10010918291 110120101201