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21012201201101 = 1123137935714139
BaseRepresentation
bin1001100011100010010001…
…10010011101110111001101
32202101202011102121011111212
410301301020302131313031
510223230442001413401
6112404512202424205
74266036635203535
oct461611062356715
982352142534455
1021012201201101
116771251877a00
12243437b802065
13b955992cbca6
14528dd2cd84c5
15266897862dbb
hex131c48c9ddcd

21012201201101 has 48 divisors (see below), whose sum is σ = 23916466022400. Its totient is φ = 18427416084000.

The previous prime is 21012201201073. The next prime is 21012201201107. The reversal of 21012201201101 is 10110210221012.

It is not a de Polignac number, because 21012201201101 - 26 = 21012201201037 is a prime.

It is a super-2 number, since 2×210122012011012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012201201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5076635090 + ... + 5076639228.

It is an arithmetic number, because the mean of its divisors is an integer number (498259708800).

Almost surely, 221012201201101 is an apocalyptic number.

It is an amenable number.

21012201201101 is a deficient number, since it is larger than the sum of its proper divisors (2904264821299).

21012201201101 is a wasteful number, since it uses less digits than its factorization.

21012201201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21012201201101 its reverse (10110210221012), we get a palindrome (31122411422113).

The spelling of 21012201201101 in words is "twenty-one trillion, twelve billion, two hundred one million, two hundred one thousand, one hundred one".

Divisors: 1 11 31 121 341 379 3571 3751 4139 4169 11749 39281 45529 45859 110701 128309 129239 432091 500819 1217711 1353409 1411399 1421629 1568681 13394821 14780369 14887499 15525389 17255491 41955679 48629111 162584059 163762489 189810401 458191439 461512469 534920221 1788424649 5040105829 5076637159 5601759851 5884122431 55441164119 61619358361 173654555381 677812941971 1910200109191 21012201201101