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1021010100201 = 3271323371464929
BaseRepresentation
bin11101101101110001111…
…00011011111111101001
310121121101221122002201100
432312320330123333221
5113212012041201301
62101013501512013
7133523403441330
oct16667074337751
93547357562640
101021010100201
1136400a647173
12145a66272609
13753860089b0
14375ba948d17
151b85b00b286
hexedb8f1bfe9

1021010100201 has 96 divisors (see below), whose sum is σ = 1945239528960. Its totient is φ = 501216325632.

The previous prime is 1021010100197. The next prime is 1021010100233. The reversal of 1021010100201 is 1020010101201.

It is a happy number.

It is not a de Polignac number, because 1021010100201 - 22 = 1021010100197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1021010100301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35496 + ... + 1429433.

It is an arithmetic number, because the mean of its divisors is an integer number (20262911760).

Almost surely, 21021010100201 is an apocalyptic number.

It is an amenable number.

1021010100201 is a deficient number, since it is larger than the sum of its proper divisors (924229428759).

1021010100201 is a wasteful number, since it uses less digits than its factorization.

1021010100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465015 (or 1465012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021010100201 its reverse (1020010101201), we get a palindrome (2041020201402).

It can be divided in two parts, 1021010 and 100201, that added together give a palindrome (1121211).

The spelling of 1021010100201 in words is "one trillion, twenty-one billion, ten million, one hundred thousand, two hundred one".

Divisors: 1 3 7 9 13 21 23 37 39 63 69 91 111 117 161 207 259 273 299 333 481 483 777 819 851 897 1443 1449 2093 2331 2553 2691 3367 4329 5957 6279 7659 10101 11063 17871 18837 30303 33189 53613 77441 99567 232323 696969 1464929 4394787 10254503 13184361 19044077 30763509 33693367 54202373 57132231 92290527 101080101 133308539 162607119 171396693 235853569 303240303 379416611 399925617 438013771 487821357 704630849 707560707 1138249833 1199776851 1246654579 1314041313 2113892547 2122682121 3066096397 3414749499 3739963737 3942123939 4932415943 6341677641 8726582053 9198289191 11219891211 14797247829 16206509527 26179746159 27594867573 44391743487 48619528581 78539238477 113445566689 145858585743 340336700067 1021010100201