101012145500 has 96 divisors (see below), whose sum is σ = 252440592768. Its totient is φ = 34589568000.

The previous prime is 101012145497. The next prime is 101012145511. The reversal of 101012145500 is 5541210101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2855924 + ... + 2891076.

It is an arithmetic number, because the mean of its divisors is an integer number (2629589508).

Almost surely, 2^101012145500 is an apocalyptic number.

101012145500 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 101012145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126220296384).

101012145500 is an abundant number, since it is smaller than the sum of its proper divisors (151428447268).

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

101012145500 is a wasteful number, since it uses less digits than its factorization.

101012145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000 (or 35988 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 101012145500 its reverse (5541210101), we get a palindrome (106553355601).

The spelling of 101012145500 in words is "one hundred one billion, twelve million, one hundred forty-five thousand, five hundred".