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10120020222121 = 7910115131726497
BaseRepresentation
bin1001001101000100000000…
…1101011110000010101001
31022211110112121110020212021
42103101000031132002221
52311301300134101441
633305023442544441
72063101351402315
oct223210015360251
938743477406767
1010120020222121
113251970650337
1211753b2368121
135854105a3134
1426db5101ab45
151283a1a903d1
hex9344035e0a9

10120020222121 has 32 divisors (see below), whose sum is σ = 10451387796480. Its totient is φ = 9796101120000.

The previous prime is 10120020222119. The next prime is 10120020222127. The reversal of 10120020222121 is 12122202002101.

It is a happy number.

It is not a de Polignac number, because 10120020222121 - 21 = 10120020222119 is a prime.

It is a super-2 number, since 2×101200202221212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120020222095 and 10120020222104.

It is not an unprimeable number, because it can be changed into a prime (10120020222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381917545 + ... + 381944041.

It is an arithmetic number, because the mean of its divisors is an integer number (326605868640).

Almost surely, 210120020222121 is an apocalyptic number.

It is an amenable number.

10120020222121 is a deficient number, since it is larger than the sum of its proper divisors (331367574359).

10120020222121 is a wasteful number, since it uses less digits than its factorization.

10120020222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120020222121 its reverse (12122202002101), we get a palindrome (22242222224222).

The spelling of 10120020222121 in words is "ten trillion, one hundred twenty billion, twenty million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 79 101 151 317 7979 11929 15251 25043 26497 32017 47867 1204829 2093263 2529343 2676197 3781493 4001047 4834567 8399549 211419563 316082713 381930793 404105747 663564371 848354449 1268331899 31924354013 67020001471 100198220021 128101521799 10120020222121