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122100221021021 = 1719261732245949
BaseRepresentation
bin11011110000110010101100…
…010011010000101101011101
3121000022200000100011020222222
4123300302230103100231131
5112000442223040133041
61111404022302115125
734501310205255665
oct3360625423205535
9530280010136888
10122100221021021
11359a545a6904a1
121183ba10b7baa5
135319003207b39
14222197a0751a5
15e1b190e7a74b
hex6f0cac4d0b5d

122100221021021 has 24 divisors (see below), whose sum is σ = 136666204111800. Its totient is φ = 108693093712896.

The previous prime is 122100221020997. The next prime is 122100221021033. The reversal of 122100221021021 is 120120122001221.

It can be written as a sum of positive squares in 4 ways, for example, as 1910352444025 + 120189868576996 = 1382155^2 + 10963114^2 .

It is not a de Polignac number, because 122100221021021 - 242 = 117702174509917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100221021071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12336446 + ... + 19909503.

It is an arithmetic number, because the mean of its divisors is an integer number (5694425171325).

Almost surely, 2122100221021021 is an apocalyptic number.

It is an amenable number.

122100221021021 is a deficient number, since it is larger than the sum of its proper divisors (14565983090779).

122100221021021 is a wasteful number, since it uses less digits than its factorization.

122100221021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32246621 (or 32246602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122100221021021 its reverse (120120122001221), we get a palindrome (242220343022242).

The spelling of 122100221021021 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty-one million, twenty-one thousand, twenty-one".

Divisors: 1 17 19 323 361 617 6137 10489 11723 199291 222737 3786529 32245949 548181133 612673031 10415441527 11640787589 19895750533 197893389013 338227759061 378019260127 6426327422159 7182365942413 122100221021021