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121001101100121 = 3112379009090991
BaseRepresentation
bin11011100000110011000011…
…101001100000010001011001
3120212102120222210010010211110
4123200303003221200101121
5111324440223340200441
61105203045523450533
734326020041140504
oct3340630351402131
9525376883103743
10121001101100121
1135611308095a00
12116a29a7b26a49
13526947c86cb38
1421c46ad82013b
15dec7b28bdb16
hex6e0cc3a60459

121001101100121 has 24 divisors (see below), whose sum is σ = 182127783494272. Its totient is φ = 71352000640800.

The previous prime is 121001101100081. The next prime is 121001101100161.

121001101100121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (121001101100081) and next prime (121001101100161).

It is not a de Polignac number, because 121001101100121 - 27 = 121001101099993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121001101100097 and 121001101100106.

It is not an unprimeable number, because it can be changed into a prime (121001101100161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504532065 + ... + 4504558926.

Almost surely, 2121001101100121 is an apocalyptic number.

121001101100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001101100121 is a deficient number, since it is larger than the sum of its proper divisors (61126682394151).

121001101100121 is a wasteful number, since it uses less digits than its factorization.

121001101100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009091053 (or 9009091042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12100110 and 1100121, that added together give a palindrome (13200231).

The spelling of 121001101100121 in words is "one hundred twenty-one trillion, one billion, one hundred one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 9009090991 27027272973 99100000901 297300002703 333336366667 1000009100001 1090100009911 3270300029733 3666700033337 11000100100011 40333700366707 121001101100121