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102202221210201 = 32773137162209527
BaseRepresentation
bin10111001111001111001111…
…000101110010101001011001
3111101212102210112001020022200
4113033033033011302221121
5101343440122112211301
61001211015142040413
730345603213442650
oct2717171705625131
9441772715036280
10102202221210201
112a62379a515272
12b567585119109
134504821c46038
141b34884782197
15bc37aac2cc86
hex5cf3cf172a59

102202221210201 has 48 divisors (see below), whose sum is σ = 172274304793344. Its totient is φ = 57180804429312.

The previous prime is 102202221210137. The next prime is 102202221210319. The reversal of 102202221210201 is 102012122202201.

It is a happy number.

102202221210201 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 221 + 21 + 0 + 201 = 666.

It is not a de Polignac number, because 102202221210201 - 26 = 102202221210137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202221200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80474701 + ... + 81734826.

It is an arithmetic number, because the mean of its divisors is an integer number (3589048016528).

Almost surely, 2102202221210201 is an apocalyptic number.

It is an amenable number.

102202221210201 is a deficient number, since it is larger than the sum of its proper divisors (70072083583143).

102202221210201 is a wasteful number, since it uses less digits than its factorization.

102202221210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162209750 (or 162209747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202221210201 its reverse (102012122202201), we get a palindrome (204214343412402).

The spelling of 102202221210201 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, two hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 63 73 137 219 411 511 657 959 1233 1533 2877 4599 8631 10001 30003 70007 90009 210021 630063 162209527 486628581 1135466689 1459885743 3406400067 10219200201 11841295471 22222705199 35523886413 66668115597 82889068297 106571659239 155558936393 200004346791 248667204891 466676809179 746001614673 1400030427537 1622257479527 4866772438581 11355802356689 14600317315743 34067407070067 102202221210201