101001001001010 has 256 divisors, whose sum is σ = 270509726269440. Its totient is φ = 23926777205760.

The previous prime is 101001001000997. The next prime is 101001001001011. The reversal of 101001001001010 is 10100100100101.

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 101001001001010.

It is not an unprimeable number, because it can be changed into a prime (101001001001011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15032144431 + ... + 15032151149.

It is an arithmetic number, because the mean of its divisors is an integer number (1056678618240).

Almost surely, 2^{101001001001010} is an apocalyptic number.

101001001001010 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 101001001001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135254863134720).

101001001001010 is an abundant number, since it is smaller than the sum of its proper divisors (169508725268430).

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

101001001001010 is a wasteful number, since it uses less digits than its factorization.

101001001001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113.

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

Adding to 101001001001010 its reverse (10100100100101), we get a palindrome (111101101101111).

Subtracting from 101001001001010 its reverse (10100100100101), we obtain a palindrome (90900900900909).

The spelling of 101001001001010 in words is "one hundred one trillion, one billion, one million, one thousand, ten".