101214242816 has 192 divisors, whose sum is σ = 216530496000. Its totient is φ = 47217049600.

The previous prime is 101214242807. The next prime is 101214242827. The reversal of 101214242816 is 618242412101.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 281933645 + ... + 281934003.

It is an arithmetic number, because the mean of its divisors is an integer number (1127763000).

Almost surely, 2^101214242816 is an apocalyptic number.

101214242816 is a gapful number since it is divisible by the number (16) 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 101214242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248000).

101214242816 is an abundant number, since it is smaller than the sum of its proper divisors (115316253184).

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

101214242816 is a wasteful number, since it uses less digits than its factorization.

101214242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Adding to 101214242816 its reverse (618242412101), we get a palindrome (719456654917).

The spelling of 101214242816 in words is "one hundred one billion, two hundred fourteen million, two hundred forty-two thousand, eight hundred sixteen".