100001012100 has 288 divisors, whose sum is σ = 326739087360. Its totient is φ = 23394624000.

The previous prime is 100001012099. The next prime is 100001012101. The reversal of 100001012100 is 1210100001.

It is an interprime number because it is at equal distance from previous prime (100001012099) and next prime (100001012101).

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 not an unprimeable number, because it can be changed into a prime (100001012101) 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, 42862534 + ... + 42864866.

It is an arithmetic number, because the mean of its divisors is an integer number (1134510720).

Almost surely, 2^100001012100 is an apocalyptic number.

100001012100 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 100001012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163369543680).

100001012100 is an abundant number, since it is smaller than the sum of its proper divisors (226738075260).

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

100001012100 is a wasteful number, since it uses less digits than its factorization.

100001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001012100 its reverse (1210100001), we get a palindrome (101211112101).

The spelling of 100001012100 in words is "one hundred billion, one million, twelve thousand, one hundred".