101100101130 has 192 divisors, whose sum is σ = 313843714560. Its totient is φ = 23091868800.

The previous prime is 101100101119. The next prime is 101100101131. The reversal of 101100101130 is 31101001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101100101131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35335900 + ... + 35338760.

It is an arithmetic number, because the mean of its divisors is an integer number (1634602680).

Almost surely, 2^101100101130 is an apocalyptic number.

101100101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156921857280).

101100101130 is an abundant number, since it is smaller than the sum of its proper divisors (212743613430).

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

101100101130 is a wasteful number, since it uses less digits than its factorization.

101100101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101100101130 its reverse (31101001101), we get a palindrome (132201102231).

The spelling of 101100101130 in words is "one hundred one billion, one hundred million, one hundred one thousand, one hundred thirty".