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2121022221102 = 2321764110813487
BaseRepresentation
bin11110110111010110110…
…001101010101100101110
321111202201200111200012100
4132313112301222230232
5234222323142033402
64302214551115530
7306144623260641
oct36672661525456
97452650450170
102121022221102
1174857a826834
122a309a072ba6
1312501c468ca5
147492d889a58
153a28caa371c
hex1edd6c6ab2e

2121022221102 has 48 divisors (see below), whose sum is σ = 4873466025792. Its totient is φ = 664380579840.

The previous prime is 2121022221049. The next prime is 2121022221107. The reversal of 2121022221102 is 2011222201212.

It is a happy number.

2121022221102 is a `hidden beast` number, since 21 + 210 + 222 + 211 + 0 + 2 = 666.

It is a super-4 number, since 4×21210222211024 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121022221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5210598 + ... + 5602889.

It is an arithmetic number, because the mean of its divisors is an integer number (101530542204).

Almost surely, 22121022221102 is an apocalyptic number.

2121022221102 is an abundant number, since it is smaller than the sum of its proper divisors (2752443804690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121022221102 is a wasteful number, since it uses less digits than its factorization.

2121022221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814153 (or 10814150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121022221102 its reverse (2011222201212), we get a palindrome (4132244422314).

The spelling of 2121022221102 in words is "two trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 641 1282 1923 3846 5769 10897 11538 21794 32691 65382 98073 196146 10813487 21626974 32440461 64880922 97321383 183829279 194642766 367658558 551487837 1102975674 1654463511 3308927022 6931445167 13862890334 20794335501 41588671002 62383006503 117834567839 124766013006 235669135678 353503703517 707007407034 1060511110551 2121022221102