101102232000 has 448 divisors, whose sum is σ = 416223175680. Its totient is φ = 21007872000.

The previous prime is 101102231963. The next prime is 101102232001. The reversal of 101102232000 is 232201101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×101102232000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1820646 + ... + 1875354.

Almost surely, 2^101102232000 is an apocalyptic number.

101102232000 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 101102232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111587840).

101102232000 is an abundant number, since it is smaller than the sum of its proper divisors (315120943680).

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

101102232000 is a wasteful number, since it uses less digits than its factorization.

101102232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54757 (or 54737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101102232000 its reverse (232201101), we get a palindrome (101334433101).

The spelling of 101102232000 in words is "one hundred one billion, one hundred two million, two hundred thirty-two thousand".