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12101012121 = 311479837937
BaseRepresentation
bin10110100010100011…
…01100101010011001
31011020100012002221010
423101101230222121
5144240324341441
65320434404133
7605605622502
oct132121545231
934210162833
1012101012121
11514a784570
122418730649
1311ab070c03
1482b1d3ba9
154ac575116
hex2d146ca99

12101012121 has 32 divisors (see below), whose sum is σ = 17996525568. Its totient is φ = 7169699840.

The previous prime is 12101012113. The next prime is 12101012129. The reversal of 12101012121 is 12121010121.

Adding to 12101012121 its reverse (12121010121), we get a palindrome (24222022242).

12101012121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (12101012113) and next prime (12101012129).

It is a cyclic number.

It is not a de Polignac number, because 12101012121 - 23 = 12101012113 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101012097 and 12101012106.

It is not an unprimeable number, because it can be changed into a prime (12101012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520665 + ... + 1528601.

It is an arithmetic number, because the mean of its divisors is an integer number (562391424).

Almost surely, 212101012121 is an apocalyptic number.

12101012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101012121 is a deficient number, since it is larger than the sum of its proper divisors (5895513447).

12101012121 is a wasteful number, since it uses less digits than its factorization.

12101012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 12101012121 in words is "twelve billion, one hundred one million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 11 33 47 141 517 983 1551 2949 7937 10813 23811 32439 46201 87307 138603 261921 373039 508211 1119117 1524633 4103429 7802071 12310287 23406213 85822781 257468343 366697337 1100092011 4033670707 12101012121