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121022021212101 = 3250926418253921
BaseRepresentation
bin11011100001000110100010…
…100101011001011111000101
3120212111120222201222221102200
4123201012202211121133011
5111330311044412241401
61105220425442225113
734330360335146562
oct3341064245313705
9525446881887380
10121022021212101
113561a172a33749
12116a6a66055199
13526b434a63519
1421c56d5db9869
15ded0d92da686
hex6e11a29597c5

121022021212101 has 12 divisors (see below), whose sum is σ = 175153023502860. Its totient is φ = 80522837948160.

The previous prime is 121022021212091. The next prime is 121022021212111. The reversal of 121022021212101 is 101212120220121.

121022021212101 is a `hidden beast` number, since 1 + 21 + 0 + 220 + 212 + 1 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121022021212091) and next prime (121022021212111).

It can be written as a sum of positive squares in 2 ways, for example, as 109445702256900 + 11576318955201 = 10461630^2 + 3402399^2 .

It is not a de Polignac number, because 121022021212101 - 29 = 121022021211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022021212111) 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 11 ways as a sum of consecutive naturals, for example, 13209122380 + ... + 13209131541.

It is an arithmetic number, because the mean of its divisors is an integer number (14596085291905).

Almost surely, 2121022021212101 is an apocalyptic number.

It is an amenable number.

121022021212101 is a deficient number, since it is larger than the sum of its proper divisors (54131002290759).

121022021212101 is a wasteful number, since it uses less digits than its factorization.

121022021212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418254436 (or 26418254433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121022021212101 its reverse (101212120220121), we get a palindrome (222234141432222).

The spelling of 121022021212101 in words is "one hundred twenty-one trillion, twenty-two billion, twenty-one million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 509 1527 4581 26418253921 79254761763 237764285289 13446891245789 40340673737367 121022021212101