101010100001010 has 128 divisors (see below), whose sum is σ = 251465193100800. Its totient is φ = 25946080819200.

The previous prime is 101010100000993. The next prime is 101010100001011. The reversal of 101010100001010 is 10100001010101.

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 101010100001010.

It is not an unprimeable number, because it can be changed into a prime (101010100001011) 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, 1382167651 + ... + 1382240729.

It is an arithmetic number, because the mean of its divisors is an integer number (1964571821100).

Almost surely, 2^{101010100001010} is an apocalyptic number.

101010100001010 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 101010100001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125732596550400).

101010100001010 is an abundant number, since it is smaller than the sum of its proper divisors (150455093099790).

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

101010100001010 is a wasteful number, since it uses less digits than its factorization.

101010100001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85556.

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

Adding to 101010100001010 its reverse (10100001010101), we get a palindrome (111110101011111).

The spelling of 101010100001010 in words is "one hundred one trillion, ten billion, one hundred million, one thousand, ten".