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101121022002 = 237111323732029
BaseRepresentation
bin101111000101101001…
…0000101100000110010
3100200000022001011100010
41132023102011200302
53124043440201002
6114242050235350
710206605335140
oct1361322054062
9320008034303
10101121022002
11399811a9570
1217721285b56
1396c6b40a80
144c73cb2590
15296c87446c
hex178b485832

101121022002 has 128 divisors (see below), whose sum is σ = 283348316160. Its totient is φ = 23190647040.

The previous prime is 101121022001. The next prime is 101121022063. The reversal of 101121022002 is 200220121101.

It is a super-2 number, since 2×1011210220022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121022001) 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, 227877 + ... + 504152.

It is an arithmetic number, because the mean of its divisors is an integer number (2213658720).

Almost surely, 2101121022002 is an apocalyptic number.

101121022002 is an abundant number, since it is smaller than the sum of its proper divisors (182227294158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121022002 is a wasteful number, since it uses less digits than its factorization.

101121022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732088.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101121022002 its reverse (200220121101), we get a palindrome (301341143103).

Subtracting 101121022002 from its reverse (200220121101), we obtain a palindrome (99099099099).

The spelling of 101121022002 in words is "one hundred one billion, one hundred twenty-one million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 77 78 91 138 143 154 161 182 231 253 273 286 299 322 429 462 483 506 546 598 759 858 897 966 1001 1518 1771 1794 2002 2093 3003 3289 3542 4186 5313 6006 6279 6578 9867 10626 12558 19734 23023 46046 69069 138138 732029 1464058 2196087 4392174 5124203 8052319 9516377 10248406 15372609 16104638 16836667 19032754 24156957 28549131 30745218 33673334 48313914 50510001 56366233 57098262 66614639 101020002 104680147 112732466 117856669 133229278 169098699 185203337 199843917 209360294 218876671 235713338 314040441 338197398 353570007 370406674 399687834 437753342 555610011 628080882 656630013 707140014 732761029 1111220022 1296423359 1313260026 1465522058 1532136697 2198283087 2407643381 2592846718 3064273394 3889270077 4396566174 4596410091 4815286762 7222930143 7778540154 9192820182 14445860286 16853503667 33707007334 50560511001 101121022002