100211123130 has 64 divisors (see below), whose sum is σ = 249177859200. Its totient is φ = 25762302720.

The previous prime is 100211123123. The next prime is 100211123137. The reversal of 100211123130 is 31321112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211123123) and next prime (100211123137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100211123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487941 + ... + 662199.

It is an arithmetic number, because the mean of its divisors is an integer number (3893404050).

Almost surely, 2^100211123130 is an apocalyptic number.

100211123130 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 100211123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124588929600).

100211123130 is an abundant number, since it is smaller than the sum of its proper divisors (148966736070).

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

100211123130 is a wasteful number, since it uses less digits than its factorization.

100211123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174959.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100211123130 its reverse (31321112001), we get a palindrome (131532235131).

The spelling of 100211123130 in words is "one hundred billion, two hundred eleven million, one hundred twenty-three thousand, one hundred thirty".