101011152 has 80 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 30320640.

The previous prime is 101011151. The next prime is 101011153. The reversal of 101011152 is 251110101.

It is an interprime number because it is at equal distance from previous prime (101011151) and next prime (101011153).

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 (101011151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58818 + ... + 60510.

Almost surely, 2^101011152 is an apocalyptic number.

101011152 is a gapful number since it is divisible by the number (12) 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 101011152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

101011152 is an abundant number, since it is smaller than the sum of its proper divisors (186345456).

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

101011152 is a wasteful number, since it uses less digits than its factorization.

101011152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 101011152 is about 10050.4304385434. The cubic root of 101011152 is about 465.7180904037.

Adding to 101011152 its reverse (251110101), we get a palindrome (352121253).

The spelling of 101011152 in words is "one hundred one million, eleven thousand, one hundred fifty-two".