101214520 has 64 divisors (see below), whose sum is σ = 261532800. Its totient is φ = 34865280.

The previous prime is 101214517. The next prime is 101214557. The reversal of 101214520 is 25412101.

It is a junction number, because it is equal to n+sod(n) for n = 101214494 and 101214503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307 + ... + 14413.

It is an arithmetic number, because the mean of its divisors is an integer number (4086450).

Almost surely, 2^101214520 is an apocalyptic number.

101214520 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 101214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130766400).

101214520 is an abundant number, since it is smaller than the sum of its proper divisors (160318280).

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

101214520 is a wasteful number, since it uses less digits than its factorization.

101214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101214520 is about 10060.5427288989. The cubic root of 101214520 is about 466.0304277503.

Adding to 101214520 its reverse (25412101), we get a palindrome (126626621).

It can be divided in two parts, 10121 and 4520, that added together give a palindrome (14641).

The spelling of 101214520 in words is "one hundred one million, two hundred fourteen thousand, five hundred twenty".