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101002122201201 = 313171031836780527
BaseRepresentation
bin10110111101110001100011…
…100111011000100001110001
3111020121201010120000221112020
4112331301203213120201301
5101214304321240414301
6554451422343222053
730163106513252634
oct2675614347304161
9436551116027466
10101002122201201
112a200839954261
12b3b2a7a447929
1344485c7ca3930
141ad2759043c1b
15ba246c4d6436
hex5bdc639d8871

101002122201201 has 64 divisors (see below), whose sum is σ = 155061026684928. Its totient is φ = 57927142130688.

The previous prime is 101002122201199. The next prime is 101002122201229. The reversal of 101002122201201 is 102102221200101.

It is not a de Polignac number, because 101002122201201 - 21 = 101002122201199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002122206201) 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, 1254223800 + ... + 1254304326.

It is an arithmetic number, because the mean of its divisors is an integer number (2422828541952).

Almost surely, 2101002122201201 is an apocalyptic number.

It is an amenable number.

101002122201201 is a deficient number, since it is larger than the sum of its proper divisors (54058904483727).

101002122201201 is a wasteful number, since it uses less digits than its factorization.

101002122201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99030.

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

Adding to 101002122201201 its reverse (102102221200101), we get a palindrome (203104343401302).

The spelling of 101002122201201 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred one thousand, two hundred one".

Divisors: 1 3 13 17 39 51 103 221 309 663 1339 1751 4017 5253 18367 22763 55101 68289 80527 238771 241581 312239 716313 936717 1046851 1368959 1891801 3140553 4059107 4106877 5675403 8294281 12177321 17796467 24593413 24882843 32160617 53389401 73780239 96481851 107825653 141002777 323476959 418088021 423008331 1254264063 1479039409 1833036101 4437118227 5499108303 19227512317 25143669953 57682536951 75431009859 152341059127 326867709389 457023177381 980603128167 1980433768651 2589798005159 5941301305953 7769394015477 33667374067067 101002122201201