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11121000201021 = 3172637589109253
BaseRepresentation
bin1010000111010100111101…
…0001000011101100111101
31110101011020121212202200010
42201311033101003230331
52424201302022413041
635352530021453433
72225315516004564
oct241651721035475
943334217782603
1011121000201021
1135a8431764947
1212b73a8571279
136289238b8c39
142a638b67cbdb
15144439380a16
hexa1d4f443b3d

11121000201021 has 32 divisors (see below), whose sum is σ = 15762153242880. Its totient is φ = 6950371011584.

The previous prime is 11121000200939. The next prime is 11121000201097. The reversal of 11121000201021 is 12010200012111.

It is a cyclic number.

It is not a de Polignac number, because 11121000201021 - 215 = 11121000168253 is a prime.

It is a super-2 number, since 2×111210002010212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121000200988 and 11121000201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121000202021) 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 31 ways as a sum of consecutive naturals, for example, 101736631 + ... + 101845883.

It is an arithmetic number, because the mean of its divisors is an integer number (492567288840).

Almost surely, 211121000201021 is an apocalyptic number.

It is an amenable number.

11121000201021 is a deficient number, since it is larger than the sum of its proper divisors (4641153041859).

11121000201021 is a wasteful number, since it uses less digits than its factorization.

11121000201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117125.

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

Adding to 11121000201021 its reverse (12010200012111), we get a palindrome (23131200213132).

The spelling of 11121000201021 in words is "eleven trillion, one hundred twenty-one billion, two hundred one thousand, twenty-one".

Divisors: 1 3 17 51 263 789 4471 7589 13413 22767 109253 129013 327759 387039 1857301 1995907 5571903 5987721 28733539 33930419 86200617 101791257 488470163 829121017 1465410489 2487363051 14095057289 42285171867 218058827471 654176482413 3707000067007 11121000201021