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102100201012222 = 27231431914092013
BaseRepresentation
bin10111001101110000001110…
…001101100111101111111110
3111101111200110120001012102121
4113031300032031213233332
5101340302202424342342
61001052103531113154
730335332106200300
oct2715601615475776
9441450416035377
10102100201012222
112a5944a77a7566
12b54b8528a27ba
1344c8013a3999a
141b2d9672c9970
15bc0cd9491067
hex5cdc0e367bfe

102100201012222 has 96 divisors (see below), whose sum is σ = 189163397136384. Its totient is φ = 41144362257600.

The previous prime is 102100201012193. The next prime is 102100201012237. The reversal of 102100201012222 is 222210102001201.

It is a happy number.

It is a super-2 number, since 2×1021002010122222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100201012196 and 102100201012205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22905088 + ... + 26997100.

It is an arithmetic number, because the mean of its divisors is an integer number (1970452053504).

Almost surely, 2102100201012222 is an apocalyptic number.

102100201012222 is a deficient number, since it is larger than the sum of its proper divisors (87063196124162).

102100201012222 is a wasteful number, since it uses less digits than its factorization.

102100201012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092294 (or 4092287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100201012222 its reverse (222210102001201), we get a palindrome (324310303013423).

The spelling of 102100201012222 in words is "one hundred two trillion, one hundred billion, two hundred one million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 7 14 31 43 49 62 86 98 191 217 301 382 434 602 1333 1337 1519 2107 2666 2674 3038 4214 5921 8213 9331 9359 11842 16426 18662 18718 41447 57491 65317 82894 114982 130634 254603 290129 402437 509206 580258 804874 1782221 3564442 4092013 8184026 12475547 24951094 28644091 57288182 126852403 175956559 200508637 253704806 351913118 401017274 781574483 887966821 1231695913 1563148966 1775933642 2463391826 5454653329 5471021381 6215767747 8621871391 10909306658 10942042762 12431535494 17243742782 24228808973 33607702769 38182573303 38297149667 48457617946 67215405538 76365146606 76594299334 169601662811 235253919383 267278013121 339203325622 470507838766 534556026242 1041838785839 1187211639677 1646777435681 2083677571678 2374423279354 3293554871362 7292871500873 14585743001746 51050100506111 102100201012222