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101001201201 = 32457166714731
BaseRepresentation
bin101111000010000100…
…1000000011000110001
3100122200221120122002200
41132010021000120301
53123322301414301
6114222130133413
710203622021305
oct1360411003061
9318627518080
10101001201201
113991a5aa40a
12176a9121269
1396a807a5a4
144c62001d05
1529620a6c86
hex1784240631

101001201201 has 24 divisors (see below), whose sum is σ = 146307499104. Its totient is φ = 67141932480.

The previous prime is 101001201187. The next prime is 101001201211. The reversal of 101001201201 is 102102100101.

It is a happy number.

It is not a de Polignac number, because 101001201201 - 213 = 101001193009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101001201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6849006 + ... + 6863736.

It is an arithmetic number, because the mean of its divisors is an integer number (6096145796).

Almost surely, 2101001201201 is an apocalyptic number.

It is an amenable number.

101001201201 is a deficient number, since it is larger than the sum of its proper divisors (45306297903).

101001201201 is a wasteful number, since it uses less digits than its factorization.

101001201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861 (or 16858 counting only the distinct ones).

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

Adding to 101001201201 its reverse (102102100101), we get a palindrome (203103301302).

The spelling of 101001201201 in words is "one hundred one billion, one million, two hundred one thousand, two hundred one".

Divisors: 1 3 9 457 1371 1667 4113 5001 14731 15003 44193 132579 761819 2285457 6732067 6856371 20196201 24556577 60588603 73669731 221009193 11222355689 33667067067 101001201201