101000000010100 has 108 divisors (see below), whose sum is σ = 221431918034404. Its totient is φ = 39987273600000.

The previous prime is 101000000010017. The next prime is 101000000010101. The reversal of 101000000010100 is 1010000000101.

It can be written as a sum of positive squares in 18 ways, for example, as 25167740428516 + 75832259581584 = 5016746^2 + 8708172^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101000000010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3612160120 + ... + 3612188080.

Almost surely, 2^{101000000010100} is an apocalyptic number.

101000000010100 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 101000000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110715959017202).

101000000010100 is an abundant number, since it is smaller than the sum of its proper divisors (120431918024304).

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

101000000010100 is a wasteful number, since it uses less digits than its factorization.

101000000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31718 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000000010100 its reverse (1010000000101), we get a palindrome (102010000010201).

Subtracting from 101000000010100 its reverse (1010000000101), we obtain a palindrome (99990000009999).

101000000010100 divided by its reverse (1010000000101) gives a square (100 = 10²).

The spelling of 101000000010100 in words is "one hundred one trillion, ten thousand, one hundred".