10200010201100 has 36 divisors (see below), whose sum is σ = 22269813718824. Its totient is φ = 4054973374080.

The previous prime is 10200010201057. The next prime is 10200010201151. The reversal of 10200010201100 is 110201000201.

10200010201100 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 11 ways as a sum of consecutive naturals, for example, 312867449 + ... + 312900048.

It is an arithmetic number, because the mean of its divisors is an integer number (618605936634).

Almost surely, 2^{10200010201100} is an apocalyptic number.

10200010201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200010201100 is an abundant number, since it is smaller than the sum of its proper divisors (12069803517724).

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

10200010201100 is a wasteful number, since it uses less digits than its factorization.

10200010201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625767674 (or 625767667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200010201100 its reverse (110201000201), we get a palindrome (10310211201301).

The spelling of 10200010201100 in words is "ten trillion, two hundred billion, ten million, two hundred one thousand, one hundred".