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102012220202201 = 413377383094753
BaseRepresentation
bin10111001100011110010010…
…001001011101110011011001
3111101012021101000121222020022
4113030132102021131303121
5101332332011332432301
61000543433401040225
730326065625512061
oct2714362211356331
9441167330558208
10102012220202201
112a56015993a821
12b53679a186075
1344bc93235059a
141b295bc6403a1
15bbd88a517d1b
hex5cc79225dcd9

102012220202201 has 8 divisors (see below), whose sum is σ = 104810413127784. Its totient is φ = 99228793466880.

The previous prime is 102012220202149. The next prime is 102012220202231. The reversal of 102012220202201 is 102202022210201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9710085442201 + 92302134760000 = 3116101^2 + 9607400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102012220202201 is a prime.

It is a super-3 number, since 3×1020122202022013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102012220202201.

It is not an unprimeable number, because it can be changed into a prime (102012220202231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3691533560 + ... + 3691561193.

It is an arithmetic number, because the mean of its divisors is an integer number (13101301640973).

Almost surely, 2102012220202201 is an apocalyptic number.

It is an amenable number.

102012220202201 is a deficient number, since it is larger than the sum of its proper divisors (2798192925583).

102012220202201 is an equidigital number, since it uses as much as digits as its factorization.

102012220202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383095131.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102012220202201 its reverse (102202022210201), we get a palindrome (204214242412402).

The spelling of 102012220202201 in words is "one hundred two trillion, twelve billion, two hundred twenty million, two hundred two thousand, two hundred one".

Divisors: 1 41 337 13817 7383094753 302706884873 2488102931761 102012220202201