101010000110100 has 144 divisors (see below), whose sum is σ = 292902899639616. Its totient is φ = 26876381696000.

The previous prime is 101010000110099. The next prime is 101010000110101. The reversal of 101010000110100 is 1011000010101.

101010000110100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101010000110099) and next prime (101010000110101).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010000110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402752740 + ... + 403003460.

It is an arithmetic number, because the mean of its divisors is an integer number (2034047914164).

Almost surely, 2^{101010000110100} is an apocalyptic number.

101010000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146451449819808).

101010000110100 is an abundant number, since it is smaller than the sum of its proper divisors (191892899529516).

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

101010000110100 is a wasteful number, since it uses less digits than its factorization.

101010000110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253706 (or 253699 counting only the distinct ones).

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

Adding to 101010000110100 its reverse (1011000010101), we get a palindrome (102021000120201).

Subtracting from 101010000110100 its reverse (1011000010101), we obtain a palindrome (99999000099999).

It can be divided in two parts, 1010100001 and 10100, that added together give a palindrome (1010110101).

The spelling of 101010000110100 in words is "one hundred one trillion, ten billion, one hundred ten thousand, one hundred".