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1010210120001 = 32557201518077
BaseRepresentation
bin11101011001101010011…
…01110010000101000001
310120120112021120021001200
432230311031302011001
5113022402242320001
62052030100451413
7132661643224515
oct16546515620501
93516467507050
101010210120001
1135a4783051a5
121439513a9b69
1374354674674
1436c74464145
151b427ccc086
hexeb35372141

1010210120001 has 12 divisors (see below), whose sum is σ = 1461812137812. Its totient is φ = 672264301536.

The previous prime is 1010210119993. The next prime is 1010210120011. The reversal of 1010210120001 is 1000210120101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 610250004225 + 399960115776 = 781185^2 + 632424^2 .

It is not a de Polignac number, because 1010210120001 - 23 = 1010210119993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1010210120011) 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 11 ways as a sum of consecutive naturals, for example, 100754026 + ... + 100764051.

It is an arithmetic number, because the mean of its divisors is an integer number (121817678151).

Almost surely, 21010210120001 is an apocalyptic number.

It is an amenable number.

1010210120001 is a deficient number, since it is larger than the sum of its proper divisors (451602017811).

1010210120001 is a wasteful number, since it uses less digits than its factorization.

1010210120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201518640 (or 201518637 counting only the distinct ones).

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

Adding to 1010210120001 its reverse (1000210120101), we get a palindrome (2010420240102).

The spelling of 1010210120001 in words is "one trillion, ten billion, two hundred ten million, one hundred twenty thousand, one".

Divisors: 1 3 9 557 1671 5013 201518077 604554231 1813662693 112245568889 336736706667 1010210120001