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12210202020101 = 1729125771969241
BaseRepresentation
bin1011000110101110100011…
…0000010000100100000101
31121020021122222021002220012
42301223220300100210011
53100022443204120401
641545142300520005
72400105121501241
oct261535060204405
947207588232805
1012210202020101
1139883547a2778
121452503b50005
136a755650cb37
14302d969ad421
15162936d5a8bb
hexb1ae8c10905

12210202020101 has 16 divisors (see below), whose sum is σ = 13375327973040. Its totient is φ = 11094792683520.

The previous prime is 12210202020053. The next prime is 12210202020127. The reversal of 12210202020101 is 10102020201221.

It can be written as a sum of positive squares in 8 ways, for example, as 4073736722500 + 8136465297601 = 2018350^2 + 2852449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210202020101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210202020131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215841 + ... + 7185081.

It is an arithmetic number, because the mean of its divisors is an integer number (835957998315).

Almost surely, 212210202020101 is an apocalyptic number.

It is an amenable number.

12210202020101 is a deficient number, since it is larger than the sum of its proper divisors (1165125952939).

12210202020101 is a wasteful number, since it uses less digits than its factorization.

12210202020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981864.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210202020101 its reverse (10102020201221), we get a palindrome (22312222221322).

The spelling of 12210202020101 in words is "twelve trillion, two hundred ten billion, two hundred two million, twenty thousand, one hundred one".

Divisors: 1 17 29 493 12577 213809 364733 1969241 6200461 33477097 57107989 970835813 24767144057 421041448969 718247177653 12210202020101