101213016 has 64 divisors (see below), whose sum is σ = 270259200. Its totient is φ = 31516800.

The previous prime is 101213003. The next prime is 101213017. The reversal of 101213016 is 610312101.

It is a junction number, because it is equal to n+sod(n) for n = 101212986 and 101213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19231 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (4222800).

Almost surely, 2^101213016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129600).

101213016 is an abundant number, since it is smaller than the sum of its proper divisors (169046184).

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

101213016 is a wasteful number, since it uses less digits than its factorization.

101213016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101213016 is about 10060.4679811627. The cubic root of 101213016 is about 466.0281194081.

Adding to 101213016 its reverse (610312101), we get a palindrome (711525117).

It can be divided in two parts, 1012 and 13016, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 101213016 in words is "one hundred one million, two hundred thirteen thousand, sixteen".