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1010210102100 = 2232521122455669
BaseRepresentation
bin11101011001101010011…
…01101101101101010100
310120120112021112100111200
432230311031231231110
5113022402241231400
62052030100232500
7132661643121363
oct16546515555524
93516467470450
101010210102100
1135a4782a2801
1214395139b730
1374354669484
1436c7445b7da
151b427cc6b00
hexeb3536db54

1010210102100 has 54 divisors (see below), whose sum is σ = 3166447445070. Its totient is φ = 269389360320.

The previous prime is 1010210102051. The next prime is 1010210102123. The reversal of 1010210102100 is 12010120101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18982777284 + 991227324816 = 137778^2 + 995604^2 .

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 561226935 + ... + 561228734.

Almost surely, 21010210102100 is an apocalyptic number.

1010210102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010210102100 is an abundant number, since it is smaller than the sum of its proper divisors (2156237342970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010210102100 is a wasteful number, since it uses less digits than its factorization.

1010210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122455689 (or 1122455679 counting only the distinct ones).

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

Adding to 1010210102100 its reverse (12010120101), we get a palindrome (1022220222201).

The spelling of 1010210102100 in words is "one trillion, ten billion, two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1122455669 2244911338 3367367007 4489822676 5612278345 6734734014 10102101021 11224556690 13469468028 16836835035 20204202042 22449113380 28061391725 33673670070 40408404084 50510505105 56122783450 67347340140 84184175175 101021010210 112245566900 168368350350 202042020420 252552525525 336736700700 505105051050 1010210102100