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1010221222101 = 371337618811861
BaseRepresentation
bin11101011001101011110…
…00001000100011010101
310120120120001110022021120
432230311320020203111
5113022413113101401
62052031134434153
7132662136464250
oct16546570104325
93516501408246
101010221222101
1135a4835a8393
12143955062959
1374356a60a60
1436c75b14097
151b428c71836
hexeb35e088d5

1010221222101 has 128 divisors (see below), whose sum is σ = 1733411054592. Its totient is φ = 509110272000.

The previous prime is 1010221222091. The next prime is 1010221222103. The reversal of 1010221222101 is 1012221220101.

1010221222101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010221222101 - 29 = 1010221221589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221222103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542836911 + ... + 542838771.

It is an arithmetic number, because the mean of its divisors is an integer number (13542273864).

Almost surely, 21010221222101 is an apocalyptic number.

It is an amenable number.

1010221222101 is a deficient number, since it is larger than the sum of its proper divisors (723189832491).

1010221222101 is a wasteful number, since it uses less digits than its factorization.

1010221222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863.

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

Adding to 1010221222101 its reverse (1012221220101), we get a palindrome (2022442442202).

The spelling of 1010221222101 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 13 21 37 39 61 91 111 183 259 273 427 481 777 793 881 1281 1443 1861 2257 2379 2643 3367 5551 5583 6167 6771 10101 11453 13027 15799 16653 18501 24193 29341 32597 34359 39081 47397 53741 68857 72579 80171 88023 97791 113521 161223 169351 205387 206571 228179 240513 340563 376187 423761 481999 508053 616161 684537 698633 794647 895141 1128561 1271283 1445997 1475773 1639541 1988417 2095899 2383941 2685423 2966327 4200277 4427319 4890431 4918623 5965251 6265987 8898981 10330411 11476787 12600831 13918919 14671293 18797961 21314033 25849421 29401939 30991233 34430361 41756757 54603601 60663017 63942099 77548263 88205817 100012001 149198231 163810803 180945947 181989051 300036003 382225207 424641119 447594693 542837841 700084007 788619221 1146675621 1273923357 1300156013 2100252021 2365857663 3700444037 3900468039 5520334547 9101092091 11101332111 16561003641 25903108259 27303276273 48105772481 77709324777 144317317443 336740407367 1010221222101