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102110010220101 = 313539713118612089
BaseRepresentation
bin10111001101111001010110…
…111000110001111001000101
3111101112121210011210120222010
4113031321112320301321011
5101340432300104020401
61001100405140324433
730336130146115062
oct2715712670617105
9441477704716863
10102110010220101
112a598680848634
12b55172b9a3719
1344c8c18044cc0
141b30217d85c69
15bc11b0712ed6
hex5cde56e31e45

102110010220101 has 128 divisors (see below), whose sum is σ = 152232632133120. Its totient is φ = 60488471347200.

The previous prime is 102110010220093. The next prime is 102110010220121. The reversal of 102110010220101 is 101022010011201.

It is not a de Polignac number, because 102110010220101 - 23 = 102110010220093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110010220121) 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, 48879850665 + ... + 48879852753.

It is an arithmetic number, because the mean of its divisors is an integer number (1189317438540).

Almost surely, 2102110010220101 is an apocalyptic number.

It is an amenable number.

102110010220101 is a deficient number, since it is larger than the sum of its proper divisors (50122621913019).

102110010220101 is a wasteful number, since it uses less digits than its factorization.

102110010220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102110010220101 its reverse (101022010011201), we get a palindrome (203132020231302).

The spelling of 102110010220101 in words is "one hundred two trillion, one hundred ten billion, ten million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 13 39 53 97 131 159 291 393 689 1261 1703 1861 2067 2089 3783 5109 5141 5583 6267 6943 12707 15423 20829 24193 27157 38121 66833 72579 81471 90259 98633 110717 165191 180517 200499 202633 243791 270777 273659 295899 332151 495573 541551 607899 673471 731373 820977 1282229 1439321 2020413 2346721 2634229 3169283 3557567 3846687 3887629 4317963 7040163 7902687 8755123 9507849 9567401 10672701 10739549 11662887 12920923 14503927 23647727 26265369 26544923 28702203 32218647 38762769 43511781 50539177 70943181 79634769 124376213 139614137 151617531 167971999 188551051 206044337 307420451 345083999 373128639 377100013 418842411 503915997 509279399 565653153 618133011 922261353 1035251997 1131300039 1253329531 1406880919 1527838197 2678576381 3759988593 4220642757 4902300169 6620632187 8035729143 14706900507 16293283903 18289451947 19861896561 19986300689 26991808147 48879851709 49400101703 54868355841 59958902067 80975424441 148200305109 259821908957 350893505911 642201322139 779465726871 1052680517733 1926603966417 2618205390259 7854616170777 34036670073367 102110010220101