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1021200102021 = 311832571450727
BaseRepresentation
bin11101101110001000100…
…01001111001010000101
310121121220012011012012210
432313010101033022011
5113212404211231041
62101044410134033
7133531201434441
oct16670421171205
93547805135183
101021200102021
113640a7920370
12145ab9a21319
13753b64a21c8
14375d7c87821
151b86ca3d016
hexedc444f285

1021200102021 has 32 divisors (see below), whose sum is σ = 1509128506368. Its totient is φ = 609072803840.

The previous prime is 1021200102017. The next prime is 1021200102031. The reversal of 1021200102021 is 1202010021201.

It is a cyclic number.

It is not a de Polignac number, because 1021200102021 - 22 = 1021200102017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021200101988 and 1021200102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021200102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21441 + ... + 1429286.

It is an arithmetic number, because the mean of its divisors is an integer number (47160265824).

Almost surely, 21021200102021 is an apocalyptic number.

1021200102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021200102021 is a deficient number, since it is larger than the sum of its proper divisors (487928404347).

1021200102021 is a wasteful number, since it uses less digits than its factorization.

1021200102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451081.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021200102021 its reverse (1202010021201), we get a palindrome (2223210123222).

The spelling of 1021200102021 in words is "one trillion, twenty-one billion, two hundred million, one hundred two thousand, twenty-one".

Divisors: 1 3 11 33 83 249 257 771 913 2739 2827 8481 21331 63993 234641 703923 1450727 4352181 15957997 47873991 120410341 361231023 372836839 1118510517 1324513751 3973541253 4101205229 12303615687 30945457637 92836372911 340400034007 1021200102021