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110021112112101 = 3163660734053587
BaseRepresentation
bin11001000001000001001001…
…010011100010001111100101
3112102112220201110201012100220
4121001001021103202033211
5103410041214200041401
61025555000125354553
732113522502514021
oct3101011123421745
9472486643635326
10110021112112101
11320687675a7523
121040a9b3a08a59
134950c3c1aaa98
141d2509bbd9381
15cabd7ce08336
hex6410494e23e5

110021112112101 has 16 divisors (see below), whose sum is σ = 147617127834624. Its totient is φ = 72886388473584.

The previous prime is 110021112112049. The next prime is 110021112112141. The reversal of 110021112112101 is 101211211120011.

It is not a de Polignac number, because 110021112112101 - 241 = 107822088856549 is a prime.

It is a super-4 number, since 4×1100211121121014 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021112112141) 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 15 ways as a sum of consecutive naturals, for example, 13795971 + ... + 20257616.

It is an arithmetic number, because the mean of its divisors is an integer number (9226070489664).

Almost surely, 2110021112112101 is an apocalyptic number.

It is an amenable number.

110021112112101 is a deficient number, since it is larger than the sum of its proper divisors (37596015722523).

110021112112101 is a wasteful number, since it uses less digits than its factorization.

110021112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34060360.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110021112112101 its reverse (101211211120011), we get a palindrome (211232323232112).

The spelling of 110021112112101 in words is "one hundred ten trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 163 489 6607 19821 1076941 3230823 34053587 102160761 5550734681 16652204043 224992049309 674976147927 36673704037367 110021112112101