101520100 has 72 divisors (see below), whose sum is σ = 246296736. Its totient is φ = 36000000.

The previous prime is 101520079. The next prime is 101520109. The reversal of 101520100 is 1025101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101520109) 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 23 ways as a sum of consecutive naturals, for example, 43975 + ... + 46225.

It is an arithmetic number, because the mean of its divisors is an integer number (3420788).

Almost surely, 2^101520100 is an apocalyptic number.

101520100 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 101520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123148368).

101520100 is an abundant number, since it is smaller than the sum of its proper divisors (144776636).

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

101520100 is a wasteful number, since it uses less digits than its factorization.

101520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

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

The square root of 101520100 is about 10075.7183366746. The cubic root of 101520100 is about 466.4989590119.

Adding to 101520100 its reverse (1025101), we get a palindrome (102545201).

It can be divided in two parts, 1015 and 20100, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 101520100 in words is "one hundred one million, five hundred twenty thousand, one hundred".