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100122011020221 = 3179240121246271
BaseRepresentation
bin10110110000111101111000…
…111001101010101110111101
3111010111120102002120112220120
4112300331320321222232331
5101110344334310121341
6552535230014205153
730042401524535331
oct2660757071525675
9433446362515816
10100122011020221
11299a1563055583
12b290396ab37b9
1343b3607b656b8
141aa1d072817c1
15b8960b0b3066
hex5b0f78e6abbd

100122011020221 has 16 divisors (see below), whose sum is σ = 141350257824768. Its totient is φ = 62820971136000.

The previous prime is 100122011020189. The next prime is 100122011020243. The reversal of 100122011020221 is 122020110221001.

It is not a de Polignac number, because 100122011020221 - 25 = 100122011020189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122011020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011020261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910685 + ... + 15335586.

It is an arithmetic number, because the mean of its divisors is an integer number (8834391114048).

Almost surely, 2100122011020221 is an apocalyptic number.

It is an amenable number.

100122011020221 is a deficient number, since it is larger than the sum of its proper divisors (41228246804547).

100122011020221 is a wasteful number, since it uses less digits than its factorization.

100122011020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21338692.

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

Adding to 100122011020221 its reverse (122020110221001), we get a palindrome (222142121241222).

The spelling of 100122011020221 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 17 51 92401 277203 1570817 4712451 21246271 63738813 361186607 1083559821 1963176686671 5889530060013 33374003673407 100122011020221