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10121201211 = 311230679091
BaseRepresentation
bin10010110110100010…
…10100011000111011
3222010100211021221010
421123101110120323
5131212011414321
64352152245003
7505545535152
oct113321243073
928110737833
1010121201211
114324177300
121b656a0763
13c53b45074
146c02b2599
153e384e676
hex25b45463b

10121201211 has 24 divisors (see below), whose sum is σ = 14839744192. Its totient is φ = 6131386800.

The previous prime is 10121201177. The next prime is 10121201227. The reversal of 10121201211 is 11210212101.

10121201211 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121201211 - 211 = 10121199163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121201281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108776 + ... + 1117866.

Almost surely, 210121201211 is an apocalyptic number.

10121201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121201211 is a deficient number, since it is larger than the sum of its proper divisors (4718542981).

10121201211 is a wasteful number, since it uses less digits than its factorization.

10121201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121201211 its reverse (11210212101), we get a palindrome (21331413312).

The spelling of 10121201211 in words is "ten billion, one hundred twenty-one million, two hundred one thousand, two hundred eleven".

Divisors: 1 3 11 33 121 363 3067 9091 9201 27273 33737 100001 101211 300003 371107 1100011 1113321 3300033 27882097 83646291 306703067 920109201 3373733737 10121201211