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2121002212021 = 721123171128497
BaseRepresentation
bin11110110111010101100…
…101010101101010110101
321111202200021212002220021
4132313111211111222311
5234222303031241041
64302212554205141
7306144261223300
oct36672545255265
97452607762807
102121002212021
1174856a4aa700
122a30934237b1
131250182816b4
147492ad5bb37
153a28ae4ecd1
hex1edd5955ab5

2121002212021 has 36 divisors (see below), whose sum is σ = 2720535581484. Its totient is φ = 1647513880320.

The previous prime is 2121002212009. The next prime is 2121002212037. The reversal of 2121002212021 is 1202122001212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 800284111396 + 1320718100625 = 894586^2 + 1149225^2 .

It is not a de Polignac number, because 2121002212021 - 215 = 2121002179253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121002211986 and 2121002212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121002210021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1315245 + ... + 2443741.

It is an arithmetic number, because the mean of its divisors is an integer number (75570432819).

Almost surely, 22121002212021 is an apocalyptic number.

It is an amenable number.

2121002212021 is a deficient number, since it is larger than the sum of its proper divisors (599533369463).

2121002212021 is a wasteful number, since it uses less digits than its factorization.

2121002212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128850 (or 1128832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121002212021 its reverse (1202122001212), we get a palindrome (3323124213233).

The spelling of 2121002212021 in words is "two trillion, one hundred twenty-one billion, two million, two hundred twelve thousand, twenty-one".

Divisors: 1 7 11 49 77 121 317 539 847 2219 3487 5929 15533 24409 38357 170863 268499 1128497 1879493 7899479 12413467 55296353 86894269 136548137 357733549 608259883 955836959 2504134843 3935069039 6690858713 17528943901 27545483273 43285759429 192818382911 303000316003 2121002212021