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120100011221021 = 13171975473789857
BaseRepresentation
bin11011010011101011110110…
…100000011010000000011101
3120202020110010021112110112112
4123103223312200122000131
5111220204310333033041
61103233103344243405
734203640144426046
oct3323536640320035
9522213107473475
10120100011221021
11352a4146373887
121157822a910565
1352024c8367970
142192c2b7b18cd
15dd4124859deb
hex6d3af681a01d

120100011221021 has 32 divisors (see below), whose sum is σ = 144173474847360. Its totient is φ = 98835563667456.

The previous prime is 120100011220979. The next prime is 120100011221023. The reversal of 120100011221021 is 120122110001021.

It is a cyclic number.

It is not a de Polignac number, because 120100011221021 - 226 = 120099944112157 is a prime.

It is a super-2 number, since 2×1201000112210212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120100011220987 and 120100011221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100011221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29794925 + ... + 33584781.

It is an arithmetic number, because the mean of its divisors is an integer number (4505421088980).

Almost surely, 2120100011221021 is an apocalyptic number.

It is an amenable number.

120100011221021 is a deficient number, since it is larger than the sum of its proper divisors (24073463626339).

120100011221021 is a wasteful number, since it uses less digits than its factorization.

120100011221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797453.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120100011221021 its reverse (120122110001021), we get a palindrome (240222121222042).

The spelling of 120100011221021 in words is "one hundred twenty trillion, one hundred billion, eleven million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 13 17 19 221 247 323 4199 7547 98111 128299 143393 1667887 1864109 2437681 3789857 31689853 49268141 64427569 72007283 837558397 936094679 1224123811 15913609543 28602050779 371826660127 486234863243 543438964801 6321053222159 7064706542413 9238462401617 120100011221021