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122001100102121 = 617128169268091
BaseRepresentation
bin11011101111010110011000…
…001110111101100111101001
3120222222012011102122212022112
4123233112120032331213221
5111442331223111231441
61111250310500532105
734461200664332102
oct3357263016754751
9528865142585275
10122001100102121
1135967415499aa9
12118247696b1035
13530c867879336
14221ac55a873a9
15e187dded94eb
hex6ef5983bd9e9

122001100102121 has 8 divisors (see below), whose sum is σ = 125747612762688. Its totient is φ = 118310925978000.

The previous prime is 122001100102111. The next prime is 122001100102151. The reversal of 122001100102121 is 121201001100221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122001100102121 is a prime.

It is a super-2 number, since 2×1220011001021212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001100102096 and 122001100102105.

It is not an unprimeable number, because it can be changed into a prime (122001100102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14084629715 + ... + 14084638376.

It is an arithmetic number, because the mean of its divisors is an integer number (15718451595336).

Almost surely, 2122001100102121 is an apocalyptic number.

It is an amenable number.

122001100102121 is a deficient number, since it is larger than the sum of its proper divisors (3746512660567).

122001100102121 is an equidigital number, since it uses as much as digits as its factorization.

122001100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28169268223.

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

Adding to 122001100102121 its reverse (121201001100221), we get a palindrome (243202101202342).

The spelling of 122001100102121 in words is "one hundred twenty-two trillion, one billion, one hundred million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 61 71 4331 28169268091 1718325353551 2000018034461 122001100102121