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1010102020101 = 32809138731221
BaseRepresentation
bin11101011001011101100…
…01011010100000000101
310120120020202011012212200
432230232301122200011
5113022142104120401
62052011235505113
7132656161335456
oct16545661324005
93516222135780
101010102020101
1135a422291139
12143921158199
1374338156125
1436c63d6512d
151b41d577686
hexeb2ec5a805

1010102020101 has 12 divisors (see below), whose sum is σ = 1460839767660. Its totient is φ = 672568954560.

The previous prime is 1010102020097. The next prime is 1010102020129. The reversal of 1010102020101 is 1010202010101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 830283617601 + 179818402500 = 911199^2 + 424050^2 .

It is not a de Polignac number, because 1010102020101 - 22 = 1010102020097 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 (1010102020141) 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, 69358330 + ... + 69372891.

It is an arithmetic number, because the mean of its divisors is an integer number (121736647305).

Almost surely, 21010102020101 is an apocalyptic number.

It is an amenable number.

1010102020101 is a deficient number, since it is larger than the sum of its proper divisors (450737747559).

1010102020101 is a wasteful number, since it uses less digits than its factorization.

1010102020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138732036 (or 138732033 counting only the distinct ones).

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

Adding to 1010102020101 its reverse (1010202010101), we get a palindrome (2020304030202).

The spelling of 1010102020101 in words is "one trillion, ten billion, one hundred two million, twenty thousand, one hundred one".

Divisors: 1 3 9 809 2427 7281 138731221 416193663 1248580989 112233557789 336700673367 1010102020101