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122010220102001 = 7115418773339709
BaseRepresentation
bin11011101111011110110111…
…110101000000000101110001
3121000000001201000112212012212
4123233132313311000011301
5111443003412321231001
61111254415450101505
734461642665134040
oct3357366765000561
9530001630485185
10122010220102001
11359702754a1990
1211826493a1a895
13531068c15347a
14221b47cdb8557
15e18b749bb7bb
hex6ef7b7d40171

122010220102001 has 32 divisors (see below), whose sum is σ = 152571632252160. Its totient is φ = 94788928339200.

The previous prime is 122010220101997. The next prime is 122010220102013. The reversal of 122010220102001 is 100201022010221.

It is a cyclic number.

It is not a de Polignac number, because 122010220102001 - 22 = 122010220101997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122010220102301) 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, 34863335 + ... + 38203043.

It is an arithmetic number, because the mean of its divisors is an integer number (4767863507880).

Almost surely, 2122010220102001 is an apocalyptic number.

122010220102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122010220102001 is a deficient number, since it is larger than the sum of its proper divisors (30561412150159).

122010220102001 is a wasteful number, since it uses less digits than its factorization.

122010220102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341145.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122010220102001 its reverse (100201022010221), we get a palindrome (222211242112222).

The spelling of 122010220102001 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty million, one hundred two thousand, one".

Divisors: 1 7 11 77 541 877 3787 5951 6139 9647 41657 67529 474457 3321199 3339709 5219027 23377963 36533189 36736799 257157593 1806782569 2928924793 12647477983 19874608259 20502473551 32218172723 139122257813 225527209061 1584548313013 11091838191091 17430031443143 122010220102001