101101132000 has 192 divisors, whose sum is σ = 272630292480. Its totient is φ = 36541248000.

The previous prime is 101101131869. The next prime is 101101132043. The reversal of 101101132000 is 231101101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7341121 + ... + 7354879.

It is an arithmetic number, because the mean of its divisors is an integer number (1419949440).

Almost surely, 2^101101132000 is an apocalyptic number.

101101132000 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 101101132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136315146240).

101101132000 is an abundant number, since it is smaller than the sum of its proper divisors (171529160480).

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

101101132000 is a wasteful number, since it uses less digits than its factorization.

101101132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13962 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101101132000 its reverse (231101101), we get a palindrome (101332233101).

The spelling of 101101132000 in words is "one hundred one billion, one hundred one million, one hundred thirty-two thousand".