100100001010100 has 288 divisors, whose sum is σ = 270406751193600. Its totient is φ = 31317809725440.

The previous prime is 100100001010063. The next prime is 100100001010109. The reversal of 100100001010100 is 1010100001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

100100001010100 is a modest number, since divided by 1010100 gives 100100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001010109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782890976 + ... + 783018824.

Almost surely, 2^{100100001010100} is an apocalyptic number.

100100001010100 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 100100001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135203375596800).

100100001010100 is an abundant number, since it is smaller than the sum of its proper divisors (170306750183500).

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

100100001010100 is a wasteful number, since it uses less digits than its factorization.

100100001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128867 (or 128860 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100001010100 its reverse (1010100001001), we get a palindrome (101110101011101).

The spelling of 100100001010100 in words is "one hundred trillion, one hundred billion, one million, ten thousand, one hundred".