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101220121 = 2973137349
BaseRepresentation
bin1100000100001…
…11111100011001
321001110111220101
412002013330121
5201403020441
614013255401
72336233252
oct602077431
9231414811
10101220121
11521551a2
1229a94561
1317c7cc82
14d62bb29
158d46231
hex6087f19

101220121 has 16 divisors (see below), whose sum is σ = 107226000. Its totient is φ = 95413248.

The previous prime is 101220113. The next prime is 101220137. The reversal of 101220121 is 121022101.

It can be written as a sum of positive squares in 8 ways, for example, as 4473225 + 96746896 = 2115^2 + 9836^2 .

It is not a de Polignac number, because 101220121 - 23 = 101220113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220098 and 101220107.

It is not an unprimeable number, because it can be changed into a prime (101220421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289855 + ... + 290203.

It is an arithmetic number, because the mean of its divisors is an integer number (6701625).

Almost surely, 2101220121 is an apocalyptic number.

It is an amenable number.

101220121 is a deficient number, since it is larger than the sum of its proper divisors (6005879).

101220121 is a wasteful number, since it uses less digits than its factorization.

101220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101220121 is about 10060.8210897521. The cubic root of 101220121 is about 466.0390239750.

Adding to 101220121 its reverse (121022101), we get a palindrome (222242222).

The spelling of 101220121 in words is "one hundred one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 29 73 137 349 2117 3973 10001 10121 25477 47813 290029 738833 1386577 3490349 101220121