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102010121010201 = 31937611578750227
BaseRepresentation
bin10111001100011100010101…
…000001101011110000011001
3111101012001221201121222011110
4113030130111001223300121
5101332313211434311301
61000542445212050533
730325662615621555
oct2714342501536031
9441161851558143
10102010121010201
112a55a281a037a8
12b5362b3163a49
1344bc689486441
141b2945d924865
15bbd7b60b00d6
hex5cc71506bc19

102010121010201 has 64 divisors (see below), whose sum is σ = 149464576670720. Its totient is φ = 61653387375360.

The previous prime is 102010121010143. The next prime is 102010121010209.

102010121010201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102010121010201 - 239 = 101460365196313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102010121010209) 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, 2030956650 + ... + 2031006876.

It is an arithmetic number, because the mean of its divisors is an integer number (2335384010480).

Almost surely, 2102010121010201 is an apocalyptic number.

It is an amenable number.

102010121010201 is a deficient number, since it is larger than the sum of its proper divisors (47454455660519).

102010121010201 is a wasteful number, since it uses less digits than its factorization.

102010121010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66134.

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

The spelling of 102010121010201 in words is "one hundred two trillion, ten billion, one hundred twenty-one million, ten thousand, two hundred one".

Divisors: 1 3 19 37 57 61 111 183 703 1159 2109 2257 3477 6771 15787 42883 47361 50227 128649 150681 299953 584119 899859 954313 963007 1752357 1858399 2862939 2889021 3063847 5575197 9191541 11098261 18297133 33294783 35309581 35631259 54891399 58213093 105928743 106893777 113362339 174639279 340087017 676993921 792933649 2030981763 2153884441 2378800947 6461653323 15065739331 29338545013 45197217993 48368952589 88015635039 145106857767 557432355247 919010099191 1672297065741 1789651245793 2757030297573 5368953737379 34003373670067 102010121010201