101011202200 has 96 divisors (see below), whose sum is σ = 247589465760. Its totient is φ = 38249164800.

The previous prime is 101011202153. The next prime is 101011202203. The reversal of 101011202200 is 2202110101.

101011202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011202203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333010 + ... + 559390.

It is an arithmetic number, because the mean of its divisors is an integer number (2579056935).

Almost surely, 2^101011202200 is an apocalyptic number.

101011202200 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 101011202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123794732880).

101011202200 is an abundant number, since it is smaller than the sum of its proper divisors (146578263560).

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

101011202200 is a wasteful number, since it uses less digits than its factorization.

101011202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226517 (or 226508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101011202200 its reverse (2202110101), we get a palindrome (103213312301).

The spelling of 101011202200 in words is "one hundred one billion, eleven million, two hundred two thousand, two hundred".