10101200212100 has 144 divisors (see below), whose sum is σ = 22548964273920. Its totient is φ = 3926279347200.

The previous prime is 10101200212063. The next prime is 10101200212153. The reversal of 10101200212100 is 121200210101.

10101200212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 239519816 + ... + 239561984.

It is an arithmetic number, because the mean of its divisors is an integer number (156590029680).

Almost surely, 2^{10101200212100} is an apocalyptic number.

10101200212100 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 10101200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274482136960).

10101200212100 is an abundant number, since it is smaller than the sum of its proper divisors (12447764061820).

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

10101200212100 is a wasteful number, since it uses less digits than its factorization.

10101200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42718 (or 42711 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101200212100 its reverse (121200210101), we get a palindrome (10222400422201).

The spelling of 10101200212100 in words is "ten trillion, one hundred one billion, two hundred million, two hundred twelve thousand, one hundred".