101131130100 has 288 divisors, whose sum is σ = 392870854656. Its totient is φ = 19397721600.

The previous prime is 101131130071. The next prime is 101131130129. The reversal of 101131130100 is 1031131101.

It is an interprime number because it is at equal distance from previous prime (101131130071) and next prime (101131130129).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131917 + ... + 468683.

It is an arithmetic number, because the mean of its divisors is an integer number (1364134912).

Almost surely, 2^101131130100 is an apocalyptic number.

101131130100 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 101131130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196435427328).

101131130100 is an abundant number, since it is smaller than the sum of its proper divisors (291739724556).

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

101131130100 is a wasteful number, since it uses less digits than its factorization.

101131130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336815 (or 336808 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101131130100 its reverse (1031131101), we get a palindrome (102162261201).

The spelling of 101131130100 in words is "one hundred one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred".