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12101211001 = 115579911993
BaseRepresentation
bin10110100010100100…
…11101001101111001
31011020100120012202001
423101102131031321
5144240402223001
65320442541001
7605610411355
oct132122351571
934210505661
1012101211001
11514a8aaa30
122418807761
1311ab1105a9
1482b246465
154ac5b4001
hex2d149d379

12101211001 has 16 divisors (see below), whose sum is σ = 13245009408. Its totient is φ = 10964764800.

The previous prime is 12101210987. The next prime is 12101211011. The reversal of 12101211001 is 10011210121.

It is not a de Polignac number, because 12101211001 - 217 = 12101079929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101211011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6070861 + ... + 6072853.

It is an arithmetic number, because the mean of its divisors is an integer number (827813088).

Almost surely, 212101211001 is an apocalyptic number.

12101211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101211001 is a deficient number, since it is larger than the sum of its proper divisors (1143798407).

12101211001 is a wasteful number, since it uses less digits than its factorization.

12101211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101211001 its reverse (10011210121), we get a palindrome (22112421122).

It can be divided in two parts, 1210121 and 1001, that multiplied together give a palindrome (1211331121).

The spelling of 12101211001 in words is "twelve billion, one hundred one million, two hundred eleven thousand, one".

Divisors: 1 11 557 991 1993 6127 10901 21923 551987 1110101 1975063 6071857 12211111 21725693 1100110091 12101211001