202011100122120 has 256 divisors, whose sum is σ = 622943774426880. Its totient is φ = 52368983654400.

The previous prime is 202011100122077. The next prime is 202011100122121. The reversal of 202011100122120 is 21221001110202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202011100122120.

It is not an unprimeable number, because it can be changed into a prime (202011100122121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44290964640 + ... + 44290969200.

It is an arithmetic number, because the mean of its divisors is an integer number (2433374118855).

Almost surely, 2^{202011100122120} is an apocalyptic number.

202011100122120 is a gapful number since it is divisible by the number (20) 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 202011100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311471887213440).

202011100122120 is an abundant number, since it is smaller than the sum of its proper divisors (420932674304760).

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

202011100122120 is a wasteful number, since it uses less digits than its factorization.

202011100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10936 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202011100122120 its reverse (21221001110202), we get a palindrome (223232101232322).

The spelling of 202011100122120 in words is "two hundred two trillion, eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".