101000010101010 has 128 divisors (see below), whose sum is σ = 251434048665600. Its totient is φ = 25944110899200.

The previous prime is 101000010100967. The next prime is 101000010101017. The reversal of 101000010101010 is 10101010000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

101000010101010 is a modest number, since divided by 10101010 gives 1010000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010101010.

It is not an unprimeable number, because it can be changed into a prime (101000010101017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364266431 + ... + 2364309149.

It is an arithmetic number, because the mean of its divisors is an integer number (1964328505200).

Almost surely, 2^{101000010101010} is an apocalyptic number.

101000010101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000010101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125717024332800).

101000010101010 is an abundant number, since it is smaller than the sum of its proper divisors (150434038564590).

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

101000010101010 is a wasteful number, since it uses less digits than its factorization.

101000010101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63956.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010101010 its reverse (10101010000101), we get a palindrome (111101020101111).

The spelling of 101000010101010 in words is "one hundred one trillion, ten million, one hundred one thousand, ten".