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120100120101 = 321343114271669
BaseRepresentation
bin110111111011010000…
…1100110011000100101
3102110222222120020110100
41233312201212120211
53431431112320401
6131101230214313
711451123114513
oct1576641463045
9373888506410
10120100120101
1146a30428905
121b339354399
13b42cb70730
145b547694b3
1531cdb80b86
hex1bf6866625

120100120101 has 48 divisors (see below), whose sum is σ = 187499370240. Its totient is φ = 73640465280.

The previous prime is 120100120097. The next prime is 120100120111. The reversal of 120100120101 is 101021001021.

It is a happy number.

It is not a de Polignac number, because 120100120101 - 22 = 120100120097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100120111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71958495 + ... + 71960163.

It is an arithmetic number, because the mean of its divisors is an integer number (3906236880).

Almost surely, 2120100120101 is an apocalyptic number.

It is an amenable number.

120100120101 is a deficient number, since it is larger than the sum of its proper divisors (67399250139).

120100120101 is a wasteful number, since it uses less digits than its factorization.

120100120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3543 counting only the distinct ones).

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

Adding to 120100120101 its reverse (101021001021), we get a palindrome (221121121122).

The spelling of 120100120101 in words is "one hundred twenty billion, one hundred million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 13 39 117 431 1293 1427 1669 3879 4281 5007 5603 12843 15021 16809 18551 21697 50427 55653 65091 166959 195273 615037 719339 1845111 2158017 2381663 5535333 6474051 7144989 7995481 9351407 21434967 23986443 28054221 30961619 71959329 84162663 92884857 278654571 1026496753 3079490259 9238470777 13344457789 40033373367 120100120101