101001010001010 has 64 divisors (see below), whose sum is σ = 279774226347264. Its totient is φ = 22857371424000.

The previous prime is 101001010001009. The next prime is 101001010001011. The reversal of 101001010001010 is 10100010100101.

It is an interprime number because it is at equal distance from previous prime (101001010001009) and next prime (101001010001011).

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 101001010001010.

It is not an unprimeable number, because it can be changed into a prime (101001010001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380954981 + ... + 2380997400.

It is an arithmetic number, because the mean of its divisors is an integer number (4371472286676).

Almost surely, 2^{101001010001010} is an apocalyptic number.

101001010001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001010001010 is an abundant number, since it is smaller than the sum of its proper divisors (178773216346254).

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

101001010001010 is a wasteful number, since it uses less digits than its factorization.

101001010001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761952499.

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

Adding to 101001010001010 its reverse (10100010100101), we get a palindrome (111101020101111).

Subtracting from 101001010001010 its reverse (10100010100101), we obtain a palindrome (90900999900909).

The spelling of 101001010001010 in words is "one hundred one trillion, one billion, ten million, one thousand, ten".