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120100000101021 = 32237018171101293
BaseRepresentation
bin11011010011101011110101…
…110101111111001010011101
3120202020110002111121111202200
4123103223311311333022131
5111220204300011213041
61103233102310042113
734203636651053163
oct3323536565771235
9522213074544680
10120100000101021
11352a41400691a6
1211578227049339
1352024c5c73395
142192c2a119233
15dd41238b01b6
hex6d3af5d7f29d

120100000101021 has 48 divisors (see below), whose sum is σ = 181302496981632. Its totient is φ = 76466141136000.

The previous prime is 120100000101019. The next prime is 120100000101143. The reversal of 120100000101021 is 120101000001021.

It is a happy number.

It is not a de Polignac number, because 120100000101021 - 21 = 120100000101019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100000100994 and 120100000101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100000102021) 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 47 ways as a sum of consecutive naturals, for example, 1185618651 + ... + 1185719943.

It is an arithmetic number, because the mean of its divisors is an integer number (3777135353784).

Almost surely, 2120100000101021 is an apocalyptic number.

It is an amenable number.

120100000101021 is a deficient number, since it is larger than the sum of its proper divisors (61202496880611).

120100000101021 is a wasteful number, since it uses less digits than its factorization.

120100000101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110194 (or 110191 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100000101021 its reverse (120101000001021), we get a palindrome (240201000102042).

The spelling of 120100000101021 in words is "one hundred twenty trillion, one hundred billion, one hundred one thousand, twenty-one".

Divisors: 1 3 9 23 69 207 701 2103 6309 8171 16123 24513 48369 73539 101293 145107 187933 303879 563799 911637 1691397 2329739 5727871 6989217 17183613 20967651 51550839 71006393 131741033 213019179 395223099 639057537 827665103 1185669297 1633147039 2482995309 4899441117 7448985927 14698323351 19036297369 57108892107 171326676321 580193237203 1740579711609 5221739134827 13344444455669 40033333367007 120100000101021