10220120200100 has 36 divisors (see below), whose sum is σ = 22541229058068. Its totient is φ = 4021030896000.

The previous prime is 10220120200067. The next prime is 10220120200127. The reversal of 10220120200100 is 100202102201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 284549698624 + 9935570501476 = 533432^2 + 3152074^2 .

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, 837708671 + ... + 837720870.

It is an arithmetic number, because the mean of its divisors is an integer number (626145251613).

Almost surely, 2^{10220120200100} is an apocalyptic number.

10220120200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220120200100 is an abundant number, since it is smaller than the sum of its proper divisors (12321108857968).

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

10220120200100 is a wasteful number, since it uses less digits than its factorization.

10220120200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675429616 (or 1675429609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220120200100 its reverse (100202102201), we get a palindrome (10320322302301).

The spelling of 10220120200100 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, two hundred thousand, one hundred".