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1012120212101 = 29178319574143
BaseRepresentation
bin11101011101001110001…
…00001101001010000101
310120202110101201222211112
432232213010031022011
5113040310233241401
62052543412414405
7133060165566245
oct16564704151205
93522411658745
101012120212101
11360268523709
121441a5017405
137459a2cc98b
1436db5dd7b25
151b4da8303bb
hexeba710d285

1012120212101 has 8 divisors (see below), whose sum is σ = 1047608186880. Its totient is φ = 976671389232.

The previous prime is 1012120212079. The next prime is 1012120212133.

1012120212101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012120212101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120212151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9735365 + ... + 9838778.

It is an arithmetic number, because the mean of its divisors is an integer number (130951023360).

Almost surely, 21012120212101 is an apocalyptic number.

It is an amenable number.

1012120212101 is a deficient number, since it is larger than the sum of its proper divisors (35487974779).

1012120212101 is a wasteful number, since it uses less digits than its factorization.

1012120212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19575955.

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

It can be divided in two parts, 1012120 and 212101, that added together give a palindrome (1224221).

The spelling of 1012120212101 in words is "one trillion, twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred one".

Divisors: 1 29 1783 51707 19574143 567650147 34900696969 1012120212101