101100223100 has 72 divisors (see below), whose sum is σ = 224864107776. Its totient is φ = 39431680000.

The previous prime is 101100223043. The next prime is 101100223109. The reversal of 101100223100 is 1322001101.

It is a super-2 number, since 2×101100223100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100223109) 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, 8649260 + ... + 8660940.

It is an arithmetic number, because the mean of its divisors is an integer number (3123112608).

Almost surely, 2^101100223100 is an apocalyptic number.

101100223100 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 101100223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432053888).

101100223100 is an abundant number, since it is smaller than the sum of its proper divisors (123763884676).

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

101100223100 is a wasteful number, since it uses less digits than its factorization.

101100223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13847 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101100223100 its reverse (1322001101), we get a palindrome (102422224201).

The spelling of 101100223100 in words is "one hundred one billion, one hundred million, two hundred twenty-three thousand, one hundred".