101000100101010 has 128 divisors (see below), whose sum is σ = 264656754895104. Its totient is φ = 24464497704960.

The previous prime is 101000100100981. The next prime is 101000100101057. The reversal of 101000100101010 is 10101001000101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101000100101010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2574346354 + ... + 2574385586.

It is an arithmetic number, because the mean of its divisors is an integer number (2067630897618).

Almost surely, 2^{101000100101010} is an apocalyptic number.

101000100101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000100101010 is an abundant number, since it is smaller than the sum of its proper divisors (163656654794094).

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

101000100101010 is a wasteful number, since it uses less digits than its factorization.

101000100101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45548.

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

Adding to 101000100101010 its reverse (10101001000101), we get a palindrome (111101101101111).

The spelling of 101000100101010 in words is "one hundred one trillion, one hundred million, one hundred one thousand, ten".