101216742 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 28174080.

The previous prime is 101216737. The next prime is 101216771. The reversal of 101216742 is 247612101.

It is a super-2 number, since 2×101216742² = 20489657722189128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728109 + ... + 728247.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^101216742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101216742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

101216742 is an abundant number, since it is smaller than the sum of its proper divisors (140098458).

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

101216742 is a wasteful number, since it uses less digits than its factorization.

101216742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 101216742 is about 10060.6531597109. The cubic root of 101216742 is about 466.0338380385.

Adding to 101216742 its reverse (247612101), we get a palindrome (348828843).

The spelling of 101216742 in words is "one hundred one million, two hundred sixteen thousand, seven hundred forty-two".