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1010101000000 = 265673101137
BaseRepresentation
bin11101011001011101011…
…01100001011101000000
310120120020200020101120011
432230232231201131000
5113022141324000000
62052011201554304
7132656146556431
oct16545655413500
93516220211504
101010101000000
1135a421754784
12143920945994
1374337b89a11
1436c63b7b488
151b41d4252ba
hexeb2eb61740

1010101000000 has 392 divisors, whose sum is σ = 2583682709688. Its totient is φ = 391680000000.

The previous prime is 1010100999997. The next prime is 1010101000003. The reversal of 1010101000000 is 1010101.

1010101000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010100999997) and next prime (1010101000003).

It can be written as a sum of positive squares in 28 ways, for example, as 820966469184 + 189134530816 = 906072^2 + 434896^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7372999932 + ... + 7373000068.

Almost surely, 21010101000000 is an apocalyptic number.

1010101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291841354844).

1010101000000 is an abundant number, since it is smaller than the sum of its proper divisors (1573581709688).

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

1010101000000 is an frugal number, since it uses more digits than its factorization.

1010101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1010101000000 its reverse (1010101), we get a palindrome (1010102010101).

1010101000000 divided by its reverse (1010101) gives a 6-th power (1000000 = 106).

The spelling of 1010101000000 in words is "one trillion, ten billion, one hundred one million", and thus it is an aban number.