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12101001021 = 333631123433
BaseRepresentation
bin10110100010100011…
…01001111100111101
31011020100011112201000
423101101221330331
5144240324013041
65320434240513
7605605545234
oct132121517475
934210145630
1012101001021
11514a77719a
122418726139
1311ab068b45
1482b1cdb1b
154ac571bb6
hex2d1469f3d

12101001021 has 16 divisors (see below), whose sum is σ = 17932491520. Its totient is φ = 8065046880.

The previous prime is 12101001007. The next prime is 12101001053. The reversal of 12101001021 is 12010010121.

It is a happy number.

It is not a de Polignac number, because 12101001021 - 26 = 12101000957 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101000994 and 12101001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101001061) 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, 36321 + ... + 159753.

It is an arithmetic number, because the mean of its divisors is an integer number (1120780720).

Almost surely, 212101001021 is an apocalyptic number.

It is an amenable number.

12101001021 is a deficient number, since it is larger than the sum of its proper divisors (5831490499).

12101001021 is a wasteful number, since it uses less digits than its factorization.

12101001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127073 (or 127067 counting only the distinct ones).

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

Adding to 12101001021 its reverse (12010010121), we get a palindrome (24111011142).

It can be divided in two parts, 1210100 and 1021, that added together give a palindrome (1211121).

The spelling of 12101001021 in words is "twelve billion, one hundred one million, one thousand, twenty-one".

Divisors: 1 3 9 27 3631 10893 32679 98037 123433 370299 1110897 3332691 448185223 1344555669 4033667007 12101001021