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100101221220021 = 37211257808910867
BaseRepresentation
bin10110110000101010100001…
…101110110111111010110101
3111010102120202012220021110120
4112300222201232313322311
5101110024300113020041
6552521511032442153
730041034402256050
oct2660524156677265
9433376665807416
10100101221220021
1129993764821a1a
12b288354549359
1343b1673969688
141aa0cd4127a97
15b88ce0d37366
hex5b0aa1bb7eb5

100101221220021 has 64 divisors (see below), whose sum is σ = 153887624816640. Its totient is φ = 56695860264960.

The previous prime is 100101221220019. The next prime is 100101221220067. The reversal of 100101221220021 is 120022122101001.

It is not a de Polignac number, because 100101221220021 - 21 = 100101221220019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101221222021) 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, 9211480830 + ... + 9211491696.

It is an arithmetic number, because the mean of its divisors is an integer number (2404494137760).

Almost surely, 2100101221220021 is an apocalyptic number.

It is an amenable number.

100101221220021 is a deficient number, since it is larger than the sum of its proper divisors (53786403596619).

100101221220021 is a wasteful number, since it uses less digits than its factorization.

100101221220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19434.

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

Adding to 100101221220021 its reverse (120022122101001), we get a palindrome (220123343321022).

The spelling of 100101221220021 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 7 21 211 257 633 771 1477 1799 4431 5397 8089 10867 24267 32601 54227 56623 76069 162681 169869 228207 379589 1138767 1706779 2078873 2292937 2792819 5120337 6236619 6878811 8378457 11947453 14552111 16050559 19549733 35842359 43656333 48151677 58649199 87903163 263709489 438642203 589284809 615322141 1315926609 1767854427 1845966423 3070495421 4124993663 9211486263 12374980989 18547567393 22591112891 55642702179 67773338673 129832971751 158137790237 389498915253 474413370711 4766724820001 14300174460003 33367073740007 100101221220021