20010013100 has 288 divisors, whose sum is σ = 55898422272. Its totient is φ = 6036480000.

The previous prime is 20010013099. The next prime is 20010013103. The reversal of 20010013100 is 131001002.

It is a super-2 number, since 2×20010013100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20010013103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76083569 + ... + 76083831.

It is an arithmetic number, because the mean of its divisors is an integer number (194091744).

Almost surely, 2^20010013100 is an apocalyptic number.

20010013100 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 20010013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27949211136).

20010013100 is an abundant number, since it is smaller than the sum of its proper divisors (35888409172).

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

20010013100 is a wasteful number, since it uses less digits than its factorization.

20010013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 20010013100 its reverse (131001002), we get a palindrome (20141014102).

The spelling of 20010013100 in words is "twenty billion, ten million, thirteen thousand, one hundred".