10201013100 has 144 divisors (see below), whose sum is σ = 32979139200. Its totient is φ = 2704944960.

The previous prime is 10201013083. The next prime is 10201013129. The reversal of 10201013100 is 131010201.

It is a super-2 number, since 2×10201013100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472747 + ... + 493853.

It is an arithmetic number, because the mean of its divisors is an integer number (229021800).

Almost surely, 2^10201013100 is an apocalyptic number.

10201013100 is a gapful number since it is divisible by the number (10) 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 10201013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489569600).

10201013100 is an abundant number, since it is smaller than the sum of its proper divisors (22778126100).

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

10201013100 is a wasteful number, since it uses less digits than its factorization.

10201013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21309 (or 21296 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10201013100 its reverse (131010201), we get a palindrome (10332023301).

It can be divided in two parts, 1020101 and 3100, that added together give a palindrome (1023201).

The spelling of 10201013100 in words is "ten billion, two hundred one million, thirteen thousand, one hundred".