101001000110010 has 512 divisors, whose sum is σ = 348792787058688. Its totient is φ = 18029693214720.

The previous prime is 101001000109957. The next prime is 101001000110039. The reversal of 101001000110010 is 10011000100101.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23579422 + ... + 27531638.

It is an arithmetic number, because the mean of its divisors is an integer number (681235912224).

Almost surely, 2^{101001000110010} is an apocalyptic number.

101001000110010 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 101001000110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174396393529344).

101001000110010 is an abundant number, since it is smaller than the sum of its proper divisors (247791786948678).

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

101001000110010 is a wasteful number, since it uses less digits than its factorization.

101001000110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952318.

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

Adding to 101001000110010 its reverse (10011000100101), we get a palindrome (111012000210111).

Subtracting from 101001000110010 its reverse (10011000100101), we obtain a palindrome (90990000009909).

The spelling of 101001000110010 in words is "one hundred one trillion, one billion, one hundred ten thousand, ten".