20101155300 has 216 divisors, whose sum is σ = 66828925800. Its totient is φ = 5036175360.

The previous prime is 20101155299. The next prime is 20101155307. The reversal of 20101155300 is 355110102.

20101155300 is a `hidden beast` number, since 20 + 1 + 0 + 115 + 530 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 91355364 + 20009799936 = 9558^2 + 141456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20101155307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16355086 + ... + 16356314.

It is an arithmetic number, because the mean of its divisors is an integer number (309393175).

Almost surely, 2^20101155300 is an apocalyptic number.

20101155300 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 20101155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33414462900).

20101155300 is an abundant number, since it is smaller than the sum of its proper divisors (46727770500).

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

20101155300 is a wasteful number, since it uses less digits than its factorization.

20101155300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 20101155300 its reverse (355110102), we get a palindrome (20456265402).

The spelling of 20101155300 in words is "twenty billion, one hundred one million, one hundred fifty-five thousand, three hundred".