12101030100 has 288 divisors, whose sum is σ = 42616022400. Its totient is φ = 2932070400.

The previous prime is 12101030093. The next prime is 12101030101. The reversal of 12101030100 is 103010121.

It is a super-2 number, since 2×12101030100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101030101) 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, 1326555 + ... + 1335645.

It is an arithmetic number, because the mean of its divisors is an integer number (147972300).

Almost surely, 2^12101030100 is an apocalyptic number.

12101030100 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 12101030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21308011200).

12101030100 is an abundant number, since it is smaller than the sum of its proper divisors (30514992300).

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

12101030100 is a wasteful number, since it uses less digits than its factorization.

12101030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12101030100 its reverse (103010121), we get a palindrome (12204040221).

The spelling of 12101030100 in words is "twelve billion, one hundred one million, thirty thousand, one hundred".