101102022200 has 96 divisors (see below), whose sum is σ = 239119248960. Its totient is φ = 39743961600.

The previous prime is 101102022191. The next prime is 101102022227. The reversal of 101102022200 is 2220201101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18138614 + ... + 18144186.

It is an arithmetic number, because the mean of its divisors is an integer number (2490825510).

Almost surely, 2^101102022200 is an apocalyptic number.

101102022200 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 101102022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119559624480).

101102022200 is an abundant number, since it is smaller than the sum of its proper divisors (138017226760).

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

101102022200 is a wasteful number, since it uses less digits than its factorization.

101102022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101102022200 its reverse (2220201101), we get a palindrome (103322223301).

The spelling of 101102022200 in words is "one hundred one billion, one hundred two million, twenty-two thousand, two hundred".