Search a number
-
+
10201212201101 = 291018863392963
BaseRepresentation
bin1001010001110010011110…
…1000010010100010001101
31100010020010000111010121212
42110130213220102202031
52314114040310413401
633410212220504205
72102004356004305
oct224344750224215
940106100433555
1010201212201101
113283345384909
1211890913ab065
1358cc7c65154c
14273a541d8605
1512a554a12dbb
hex94727a1288d

10201212201101 has 16 divisors (see below), whose sum is σ = 10658692661760. Its totient is φ = 9750801883200.

The previous prime is 10201212200989. The next prime is 10201212201127. The reversal of 10201212201101 is 10110221210201.

It is a cyclic number.

It is not a de Polignac number, because 10201212201101 - 222 = 10201208006797 is a prime.

It is a super-2 number, since 2×102012122011012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201212201161) 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, 25763246 + ... + 26156208.

It is an arithmetic number, because the mean of its divisors is an integer number (666168291360).

Almost surely, 210201212201101 is an apocalyptic number.

It is an amenable number.

10201212201101 is a deficient number, since it is larger than the sum of its proper divisors (457480460659).

10201212201101 is a wasteful number, since it uses less digits than its factorization.

10201212201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401956.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201212201101 its reverse (10110221210201), we get a palindrome (20311433411302).

The spelling of 10201212201101 in words is "ten trillion, two hundred one billion, two hundred twelve million, two hundred one thousand, one hundred one".

Divisors: 1 29 101 2929 8863 257027 392963 895163 11395927 25959727 39689263 1150988627 3482831069 101002101001 351765937969 10201212201101