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10120112200121 = 711417145149443
BaseRepresentation
bin1001001101000100010110…
…1100010101100110111001
31022211110210000112012221212
42103101011230111212321
52311301442210400441
633305040530212505
72063103546243620
oct223210554254671
938743700465855
1010120112200121
113251a08562810
121175419124135
135854266684a1
1426db5d3206b7
151283a9baceeb
hex93445b159b9

10120112200121 has 32 divisors (see below), whose sum is σ = 13107064190976. Its totient is φ = 7585106256000.

The previous prime is 10120112200109. The next prime is 10120112200127. The reversal of 10120112200121 is 12100221102101.

It is not a de Polignac number, because 10120112200121 - 214 = 10120112183737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120112200096 and 10120112200105.

It is not an unprimeable number, because it can be changed into a prime (10120112200127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22350575 + ... + 22798868.

It is an arithmetic number, because the mean of its divisors is an integer number (409595755968).

Almost surely, 210120112200121 is an apocalyptic number.

10120112200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120112200121 is a deficient number, since it is larger than the sum of its proper divisors (2986951990855).

10120112200121 is a wasteful number, since it uses less digits than its factorization.

10120112200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45149573.

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

Adding to 10120112200121 its reverse (12100221102101), we get a palindrome (22220333302222).

The spelling of 10120112200121 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand, one hundred twenty-one".

Divisors: 1 7 11 41 71 77 287 451 497 781 2911 3157 5467 20377 32021 224147 45149443 316046101 496643873 1851127163 3205610453 3476507111 12957890141 20362398793 22439273171 35261714983 131430028573 142536791551 246832004881 920010200011 1445730314303 10120112200121