101220416 has 28 divisors (see below), whose sum is σ = 219120720. Its totient is φ = 46008960.

The previous prime is 101220377. The next prime is 101220421. The reversal of 101220416 is 614022101.

It is a junction number, because it is equal to n+sod(n) for n = 101220394 and 101220403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71186 + ... + 72593.

It is an arithmetic number, because the mean of its divisors is an integer number (7825740).

Almost surely, 2^101220416 is an apocalyptic number.

101220416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101220416 is an abundant number, since it is smaller than the sum of its proper divisors (117900304).

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

101220416 is a wasteful number, since it uses less digits than its factorization.

101220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143802 (or 143792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101220416 is about 10060.8357505726. The cubic root of 101220416 is about 466.0394767222.

Adding to 101220416 its reverse (614022101), we get a palindrome (715242517).

The spelling of 101220416 in words is "one hundred one million, two hundred twenty thousand, four hundred sixteen".