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121221021021001 = 11178811823403621
BaseRepresentation
bin11011100011111111110111…
…111001011011001101001001
3120220012121122101020122200021
4123203333313321123031021
5111342041122340133001
61105452100202540441
734350633622465546
oct3343776771331511
9526177571218607
10121221021021001
1135696601160530
1211719542807721
135284129aa9535
1421d11b32ddbcd
15e03384a41ba1
hex6e3ff7e5b349

121221021021001 has 32 divisors (see below), whose sum is σ = 140256178062336. Its totient is φ = 103543706112000.

The previous prime is 121221021020963. The next prime is 121221021021011. The reversal of 121221021021001 is 100120120122121.

It is not a de Polignac number, because 121221021021001 - 215 = 121221020988233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121221021021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300131971 + ... + 300535591.

It is an arithmetic number, because the mean of its divisors is an integer number (4383005564448).

Almost surely, 2121221021021001 is an apocalyptic number.

121221021021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221021021001 is a deficient number, since it is larger than the sum of its proper divisors (19035157041335).

121221021021001 is a wasteful number, since it uses less digits than its factorization.

121221021021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406353.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221021021001 its reverse (100120120122121), we get a palindrome (221341141143122).

The spelling of 121221021021001 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, twenty-one thousand, one".

Divisors: 1 11 17 187 881 1823 9691 14977 20053 30991 164747 340901 403621 1606063 4439831 6861557 17666693 27303071 75477127 300333781 355590101 735801083 3911491111 6045031717 8093811913 12508618411 66495348887 137594802521 648240754123 7130648295353 11020092820091 121221021021001