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20122100110101 = 3111759607936799
BaseRepresentation
bin1001001001101000010101…
…01000010001001100010101
32122020122122202100202121210
410210310022220101030111
510114140030112010401
6110443544251132033
74144526253600153
oct444641250211425
978218582322553
1020122100110101
116458809a25a40
12230b96a744019
13b2c6765c70b2
144d7cb447c3d3
1524d64e3c64d6
hex124d0aa11315

20122100110101 has 32 divisors (see below), whose sum is σ = 31515443712000. Its totient is φ = 11283306970880.

The previous prime is 20122100110069. The next prime is 20122100110117. The reversal of 20122100110101 is 10101100122102.

It is a cyclic number.

It is not a de Polignac number, because 20122100110101 - 25 = 20122100110069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122100110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303935301 + ... + 304001498.

It is an arithmetic number, because the mean of its divisors is an integer number (984857616000).

Almost surely, 220122100110101 is an apocalyptic number.

It is an amenable number.

20122100110101 is a deficient number, since it is larger than the sum of its proper divisors (11393343601899).

20122100110101 is a wasteful number, since it uses less digits than its factorization.

20122100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607936889.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20122100110101 its reverse (10101100122102), we get a palindrome (30223200232203).

The spelling of 20122100110101 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred ten thousand, one hundred one".

Divisors: 1 3 11 17 33 51 59 177 187 561 649 1003 1947 3009 11033 33099 607936799 1823810397 6687304789 10334925583 20061914367 31004776749 35868271141 107604813423 113684181413 341052544239 394550982551 609760609397 1183652947653 1829281828191 6707366703367 20122100110101