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120021112100100 = 22352400070373667
BaseRepresentation
bin11011010010100010010111…
…110000001001010100000100
3120201221220110122220211201210
4123102202113300021110010
5111212411214144200400
61103132534314251420
734165145021111331
oct3322422760112404
9521856418824653
10120021112100100
1135273738922522
1211564a8b726b70
1351c7c333309b3
14218d0a4d23988
15dd2057d47950
hex6d2897c09504

120021112100100 has 36 divisors (see below), whose sum is σ = 347261084343824. Its totient is φ = 32005629893280.

The previous prime is 120021112100069. The next prime is 120021112100161. The reversal of 120021112100100 is 1001211120021.

It is a super-3 number, since 3×1200211121001003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200035186534 + ... + 200035187133.

Almost surely, 2120021112100100 is an apocalyptic number.

120021112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021112100100 is an abundant number, since it is smaller than the sum of its proper divisors (227239972243724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120021112100100 is a wasteful number, since it uses less digits than its factorization.

120021112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400070373684 (or 400070373677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120021112100100 its reverse (1001211120021), we get a palindrome (121022323220121).

The spelling of 120021112100100 in words is "one hundred twenty trillion, twenty-one billion, one hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 400070373667 800140747334 1200211121001 1600281494668 2000351868335 2400422242002 4000703736670 4800844484004 6001055605005 8001407473340 10001759341675 12002111210010 20003518683350 24004222420020 30005278025025 40007037366700 60010556050050 120021112100100