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120200020101021 = 37101211661406331
BaseRepresentation
bin11011010101001000111111…
…100000000000011110011101
3120202121000021001212221212010
4123111020333200000132131
5111223324120121213041
61103351043225501433
734214110360040550
oct3325107740003635
9522530231787763
10120200020101021
11353325a6814623
121159369b641879
13520ba75966233
1421979d7aa4697
15dd6a2974aa16
hex6d523f80079d

120200020101021 has 64 divisors (see below), whose sum is σ = 186133706790912. Its totient is φ = 67580805600000.

The previous prime is 120200020100911. The next prime is 120200020101041. The reversal of 120200020101021 is 120101020002021.

It is not a de Polignac number, because 120200020101021 - 215 = 120200020068253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120200020100988 and 120200020101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200020101041) 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 63 ways as a sum of consecutive naturals, for example, 295614826 + ... + 296021156.

It is an arithmetic number, because the mean of its divisors is an integer number (2908339168608).

Almost surely, 2120200020101021 is an apocalyptic number.

It is an amenable number.

120200020101021 is a deficient number, since it is larger than the sum of its proper divisors (65933686689891).

120200020101021 is a wasteful number, since it uses less digits than its factorization.

120200020101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407314.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120200020101021 its reverse (120101020002021), we get a palindrome (240301040103042).

The spelling of 120200020101021 in words is "one hundred twenty trillion, two hundred billion, twenty million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 21 101 211 303 633 661 707 1477 1983 2121 4431 4627 13881 21311 63933 66761 139471 149177 200283 406331 418413 447531 467327 976297 1218993 1401981 2844317 2928891 8532951 14086571 41039431 42259713 85735841 98605997 123118293 257207523 268584791 287276017 295817991 600150887 805754373 861828051 1800452661 1880093537 5640280611 8659319941 25977959823 27127063891 56671390901 60615239587 81381191673 170014172703 181845718761 189889447237 396699736307 569668341711 1190099208921 5723810481001 17171431443003 40066673367007 120200020101021