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21221100201021 = 3741281571153611
BaseRepresentation
bin1001101001100111011000…
…01000111010010000111101
32210010201100221220212221220
410310303230020322100331
510240141303122413041
6113044501105143553
74320113434332660
oct464635410722075
983121327825856
1021221100201021
1168418aa915496
12246895b62abb9
13bac1ab197696
1453516cc1d6d7
1526c0221b2d66
hex134cec23a43d

21221100201021 has 64 divisors (see below), whose sum is σ = 33301941184512. Its totient is φ = 11767754880000.

The previous prime is 21221100201019. The next prime is 21221100201023. The reversal of 21221100201021 is 12010200112212.

It is an interprime number because it is at equal distance from previous prime (21221100201019) and next prime (21221100201023).

It is not a de Polignac number, because 21221100201021 - 21 = 21221100201019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221100201023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138071506 + ... + 138225116.

It is an arithmetic number, because the mean of its divisors is an integer number (520342831008).

Almost surely, 221221100201021 is an apocalyptic number.

21221100201021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21221100201021 is a deficient number, since it is larger than the sum of its proper divisors (12080840983491).

21221100201021 is a wasteful number, since it uses less digits than its factorization.

21221100201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154514.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221100201021 its reverse (12010200112212), we get a palindrome (33231300313233).

The spelling of 21221100201021 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred million, two hundred one thousand, twenty-one".

Divisors: 1 3 7 21 41 123 281 287 571 843 861 1713 1967 3997 5901 11521 11991 23411 34563 70233 80647 153611 160451 163877 241941 460833 481353 491631 1075277 1123157 3225831 3369471 6298051 6578491 18894153 19735473 43164691 44086357 46049437 87711881 129494073 132259071 138148311 263135643 302152837 613983167 906458511 1769752331 1841949501 3596187121 5309256993 10788561363 12388266317 24647038561 25173309847 37164798951 73941115683 75519929541 172529269927 517587809781 1010528581001 3031585743003 7073700067007 21221100201021