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122102201200101 = 31391238212364793
BaseRepresentation
bin11011110000110100100010…
…010101000010110111100101
3121000022212010100012210000220
4123300310202111002313211
5112001010302001400401
61111404551000154553
734501410241435563
oct3360644225026745
9530285110183026
10122102201200101
11359a628641a331
1211840284168a59
13531925a532435
142221ac7050a33
15e1b259c25336
hex6f0d22542de5

122102201200101 has 16 divisors (see below), whose sum is σ = 163975572694080. Its totient is φ = 80815158541440.

The previous prime is 122102201200093. The next prime is 122102201200157. The reversal of 122102201200101 is 101002102201221.

It is not a de Polignac number, because 122102201200101 - 23 = 122102201200093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102201200181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50450961 + ... + 52815753.

It is an arithmetic number, because the mean of its divisors is an integer number (10248473293380).

Almost surely, 2122102201200101 is an apocalyptic number.

It is an amenable number.

122102201200101 is a deficient number, since it is larger than the sum of its proper divisors (41873371493979).

122102201200101 is a wasteful number, since it uses less digits than its factorization.

122102201200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488756.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122102201200101 its reverse (101002102201221), we get a palindrome (223104303401322).

The spelling of 122102201200101 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred one million, two hundred thousand, one hundred one".

Divisors: 1 3 139 417 123821 371463 2364793 7094379 17211119 51633357 328706227 986118681 292811034053 878433102159 40700733733367 122102201200101