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1221012220101 = 3313753113179331
BaseRepresentation
bin10001110001001001111…
…111111110100011000101
311022201122102220111011120
4101301021333332203011
5130001113112020401
62332531505224153
7154133551424652
oct21611177764305
94281572814146
101221012220101
11430912626053
12178782632059
138b1aa8baa3b
144315101cc29
1521b6474d836
hex11c49ffe8c5

1221012220101 has 128 divisors (see below), whose sum is σ = 1789380771840. Its totient is φ = 738939801600.

The previous prime is 1221012220081. The next prime is 1221012220139. The reversal of 1221012220101 is 1010222101221.

It is not a de Polignac number, because 1221012220101 - 217 = 1221012089029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221012220151) 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 127 ways as a sum of consecutive naturals, for example, 3688858506 + ... + 3688858836.

It is an arithmetic number, because the mean of its divisors is an integer number (13979537280).

Almost surely, 21221012220101 is an apocalyptic number.

It is an amenable number.

1221012220101 is a deficient number, since it is larger than the sum of its proper divisors (568368551739).

1221012220101 is a wasteful number, since it uses less digits than its factorization.

1221012220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

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

Adding to 1221012220101 its reverse (1010222101221), we get a palindrome (2231234321322).

The spelling of 1221012220101 in words is "one trillion, two hundred twenty-one billion, twelve million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 31 37 53 93 111 113 159 179 331 339 537 993 1147 1643 1961 3441 3503 4181 4929 5549 5883 5989 6623 9487 10261 10509 12247 12543 16647 17543 17967 19869 20227 28461 30783 36741 37403 52629 59249 60681 60791 112209 129611 177747 182373 185659 205313 221593 294097 351019 379657 388833 543833 556977 615939 627037 649091 664779 748399 882291 1053057 1072031 1138971 1159493 1383911 1631499 1836719 1881111 1947273 1982359 2192213 2245197 3140197 3216093 3478479 4151733 5510157 5947077 6576639 6695137 6869383 9420591 10881589 20085411 20121821 20608149 23200369 32644767 33232961 39665147 42901241 60365463 61453129 67958603 69601107 73347283 97346107 99698883 116187289 118995441 128703723 184359387 203875809 207549247 220041849 247720069 292038321 348561867 354842261 622647741 743160207 1064526783 1229619557 2273765773 3601805959 3688858671 6821297319 7679322139 10805417877 11000110091 13129163657 23037966417 33000330273 39387490971 407004073367 1221012220101