10100121100000 has 288 divisors, whose sum is σ = 25973528962752. Its totient is φ = 3858624000000.

The previous prime is 10100121099997. The next prime is 10100121100051. The reversal of 10100121100000 is 112100101.

10100121100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741097100 + ... + 1741102900.

It is an arithmetic number, because the mean of its divisors is an integer number (90185864454).

Almost surely, 2^{10100121100000} is an apocalyptic number.

10100121100000 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 10100121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986764481376).

10100121100000 is an abundant number, since it is smaller than the sum of its proper divisors (15873407862752).

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

10100121100000 is an frugal number, since it uses more digits than its factorization.

10100121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100121100000 its reverse (112100101), we get a palindrome (10100233200101).

The spelling of 10100121100000 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand".