10100121101100 has 360 divisors, whose sum is σ = 34621097191296. Its totient is φ = 2542907520000.

The previous prime is 10100121101047. The next prime is 10100121101111. The reversal of 10100121101100 is 110112100101.

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 119 ways as a sum of consecutive naturals, for example, 9804570 + ... + 10785630.

Almost surely, 2^{10100121101100} is an apocalyptic number.

10100121101100 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 10100121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310548595648).

10100121101100 is an abundant number, since it is smaller than the sum of its proper divisors (24520976090196).

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

10100121101100 is a wasteful number, since it uses less digits than its factorization.

10100121101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981159 (or 981143 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100121101100 its reverse (110112100101), we get a palindrome (10210233201201).

Subtracting from 10100121101100 its reverse (110112100101), we obtain a palindrome (9990009000999).

It can be divided in two parts, 1010012 and 1101100, that added together give a palindrome (2111112).

The spelling of 10100121101100 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, one hundred".