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101202101 = 72112132101
BaseRepresentation
bin1100000100000…
…11100010110101
321001102121011222
412002003202311
5201401431401
614013040125
72336126600
oct602034265
9231377158
10101202101
1152142700
1229a86045
1317c74a00
14d625337
158d40c1b
hex60838b5

101202101 has 54 divisors (see below), whose sum is σ = 141506946. Its totient is φ = 72072000.

The previous prime is 101202097. The next prime is 101202103.

It can be divided in two parts, 10120 and 2101, that added together give a palindrome (12221).

101202101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 8561476 + 92640625 = 2926^2 + 9625^2 .

It is not a de Polignac number, because 101202101 - 22 = 101202097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1001951 + ... + 1002051.

It is an arithmetic number, because the mean of its divisors is an integer number (2620499).

Almost surely, 2101202101 is an apocalyptic number.

101202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202101 is a deficient number, since it is larger than the sum of its proper divisors (40304845).

101202101 is a wasteful number, since it uses less digits than its factorization.

101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101202101 is about 10059.9254967420. The cubic root of 101202101 is about 466.0113663593.

The spelling of 101202101 in words is "one hundred one million, two hundred two thousand, one hundred one".

Divisors: 1 7 11 13 49 77 91 101 121 143 169 539 637 707 847 1001 1111 1183 1313 1573 1859 4949 5929 7007 7777 8281 9191 11011 12221 13013 14443 17069 20449 54439 64337 77077 85547 91091 101101 119483 143143 158873 187759 598829 707707 836381 1002001 1112111 1314313 2065349 7784777 9200191 14457443 101202101