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122112101021 = 284357917417
BaseRepresentation
bin111000110111001110…
…0101100101010011101
3102200012012110110102012
41301232130230222131
54000041144213041
6132033022041005
711552023506221
oct1615634545235
9380165413365
10122112101021
1147873108959
121b7bb119165
13b6909511a1
145ca5a62781
15329a60d3eb
hex1c6e72ca9d

122112101021 has 8 divisors (see below), whose sum is σ = 122192619264. Its totient is φ = 122031614880.

The previous prime is 122112100973. The next prime is 122112101047. The reversal of 122112101021 is 120101211221.

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-122112101021 is a prime.

It is a super-2 number, since 2×1221121010212 (a number of 23 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 = 122112100987 and 122112101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112101081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16460105 + ... + 16467521.

It is an arithmetic number, because the mean of its divisors is an integer number (15274077408).

Almost surely, 2122112101021 is an apocalyptic number.

It is an amenable number.

122112101021 is a deficient number, since it is larger than the sum of its proper divisors (80518243).

122112101021 is an equidigital number, since it uses as much as digits as its factorization.

122112101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051.

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

Adding to 122112101021 its reverse (120101211221), we get a palindrome (242213312242).

The spelling of 122112101021 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, twenty-one".

Divisors: 1 2843 5791 7417 16463813 21086531 42951847 122112101021