101201520 has 160 divisors (see below), whose sum is σ = 364976640. Its totient is φ = 22717440.

The previous prime is 101201497. The next prime is 101201521. The reversal of 101201520 is 25102101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101201496 and 101201505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98610 + ... + 99630.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^101201520 is an apocalyptic number.

101201520 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 101201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

101201520 is an abundant number, since it is smaller than the sum of its proper divisors (263775120).

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

101201520 is a wasteful number, since it uses less digits than its factorization.

101201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101201520 is about 10059.8966197471. The cubic root of 101201520 is about 466.0104745692.

Adding to 101201520 its reverse (25102101), we get a palindrome (126303621).

The spelling of 101201520 in words is "one hundred one million, two hundred one thousand, five hundred twenty".