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12000101020101 = 321333344557789
BaseRepresentation
bin1010111010011111110111…
…0000100011000111000101
31120111012100200011110022200
42232213331300203013011
53033102201330120401
641304434215145113
72345656455453525
oct256477560430705
946435320143280
1012000101020101
11390723a202797
121419849675199
136907b25cc7ac
142d6b45197685
1515c23bc27686
hexae9fdc231c5

12000101020101 has 6 divisors (see below), whose sum is σ = 17333479251270. Its totient is φ = 8000067346728.

The previous prime is 12000101020093. The next prime is 12000101020109. The reversal of 12000101020101 is 10102010100021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000101020093) and next prime (12000101020109).

It can be written as a sum of positive squares in only one way, i.e., 10209616172001 + 1790484848100 = 3195249^2 + 1338090^2 .

It is not a de Polignac number, because 12000101020101 - 23 = 12000101020093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333344557789 = 12000101020101 / (1 + 2 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 2 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000101020109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666672278886 + ... + 666672278903.

It is an arithmetic number, because the mean of its divisors is an integer number (2888913208545).

Almost surely, 212000101020101 is an apocalyptic number.

It is an amenable number.

12000101020101 is a deficient number, since it is larger than the sum of its proper divisors (5333378231169).

12000101020101 is a wasteful number, since it uses less digits than its factorization.

12000101020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333344557795 (or 1333344557792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000101020101 its reverse (10102010100021), we get a palindrome (22102111120122).

The spelling of 12000101020101 in words is "twelve trillion, one hundred one million, twenty thousand, one hundred one".

Divisors: 1 3 9 1333344557789 4000033673367 12000101020101