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202201210101 = 3112897278609
BaseRepresentation
bin1011110001010000100…
…0011001110011110101
3201022220202020202002110
42330110020121303311
511303102002210401
6232520121401233
720415506633112
oct2742410316365
9638822222073
10202201210101
1178831347a00
1233230939219
13160b5385567
149b02595909
1553d682e9d6
hex2f14219cf5

202201210101 has 48 divisors (see below), whose sum is σ = 300115670400. Its totient is φ = 120988538880.

The previous prime is 202201210097. The next prime is 202201210147. The reversal of 202201210101 is 101012102202.

202201210101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202201210101 - 22 = 202201210097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23482885 + ... + 23491493.

It is an arithmetic number, because the mean of its divisors is an integer number (6252409800).

Almost surely, 2202201210101 is an apocalyptic number.

It is an amenable number.

202201210101 is a deficient number, since it is larger than the sum of its proper divisors (97914460299).

202201210101 is a wasteful number, since it uses less digits than its factorization.

202201210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9439 counting only the distinct ones).

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

Adding to 202201210101 its reverse (101012102202), we get a palindrome (303213312303).

It can be divided in two parts, 20220 and 1210101, that added together give a palindrome (1230321).

The spelling of 202201210101 in words is "two hundred two billion, two hundred one million, two hundred ten thousand, one hundred one".

Divisors: 1 3 11 33 89 121 267 363 727 979 2181 2937 7997 8609 10769 23991 25827 32307 64703 87967 94699 194109 263901 284097 711733 766201 1041689 2135199 2298603 3125067 6258743 7829063 8428211 18776229 23487189 25284633 68846173 92710321 206538519 278130963 557028127 757307903 1671084381 2271923709 6127309397 18381928191 67400403367 202201210101