101302152 has 128 divisors (see below), whose sum is σ = 304972800. Its totient is φ = 27433728.

The previous prime is 101302121. The next prime is 101302177. The reversal of 101302152 is 251203101.

It is a super-2 number, since 2×101302152² = 20524251999662208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267099 + ... + 267477.

It is an arithmetic number, because the mean of its divisors is an integer number (2382600).

Almost surely, 2^101302152 is an apocalyptic number.

101302152 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 101302152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152486400).

101302152 is an abundant number, since it is smaller than the sum of its proper divisors (203670648).

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

101302152 is a wasteful number, since it uses less digits than its factorization.

101302152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101302152 is about 10064.8970188472. The cubic root of 101302152 is about 466.1648860535.

Adding to 101302152 its reverse (251203101), we get a palindrome (352505253).

It can be divided in two parts, 101 and 302152, that added together give a triangular number (302253 = T₇₇₇).

The spelling of 101302152 in words is "one hundred one million, three hundred two thousand, one hundred fifty-two".