10121200020100 has 144 divisors (see below), whose sum is σ = 24903771681600. Its totient is φ = 3539455557120.

The previous prime is 10121200020059. The next prime is 10121200020131. The reversal of 10121200020100 is 102000212101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 99218322 + ... + 99320278.

It is an arithmetic number, because the mean of its divisors is an integer number (172942858900).

Almost surely, 2^{10121200020100} is an apocalyptic number.

10121200020100 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 10121200020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451885840800).

10121200020100 is an abundant number, since it is smaller than the sum of its proper divisors (14782571661500).

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

10121200020100 is a wasteful number, since it uses less digits than its factorization.

10121200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106022 (or 106015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121200020100 its reverse (102000212101), we get a palindrome (10223200232201).

The spelling of 10121200020100 in words is "ten trillion, one hundred twenty-one billion, two hundred million, twenty thousand, one hundred".