10121200001100 has 432 divisors, whose sum is σ = 34391740350240. Its totient is φ = 2553114816000.

The previous prime is 10121200001069. The next prime is 10121200001249. The reversal of 10121200001100 is 110000212101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 683257294 + ... + 683272106.

It is an arithmetic number, because the mean of its divisors is an integer number (79610510070).

Almost surely, 2^{10121200001100} is an apocalyptic number.

10121200001100 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 10121200001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195870175120).

10121200001100 is an abundant number, since it is smaller than the sum of its proper divisors (24270540349140).

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

10121200001100 is a wasteful number, since it uses less digits than its factorization.

10121200001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15575 (or 15543 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121200001100 its reverse (110000212101), we get a palindrome (10231200213201).

The spelling of 10121200001100 in words is "ten trillion, one hundred twenty-one billion, two hundred million, one thousand, one hundred".