101132222100 has 432 divisors, whose sum is σ = 376498902528. Its totient is φ = 20759639040.

The previous prime is 101132222053. The next prime is 101132222101. The reversal of 101132222100 is 1222231101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101132222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132222101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7063549 + ... + 7077851.

Almost surely, 2^101132222100 is an apocalyptic number.

101132222100 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 101132222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188249451264).

101132222100 is an abundant number, since it is smaller than the sum of its proper divisors (275366680428).

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

101132222100 is a wasteful number, since it uses less digits than its factorization.

101132222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14384 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101132222100 its reverse (1222231101), we get a palindrome (102354453201).

Subtracting from 101132222100 its reverse (1222231101), we obtain a palindrome (99909990999).

The spelling of 101132222100 in words is "one hundred one billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred".