122101056 has 168 divisors, whose sum is σ = 436497984. Its totient is φ = 31703040.

The previous prime is 122101019. The next prime is 122101061. The reversal of 122101056 is 650101221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42976 + ... + 45728.

Almost surely, 2^122101056 is an apocalyptic number.

122101056 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 122101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218248992).

122101056 is an abundant number, since it is smaller than the sum of its proper divisors (314396928).

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

122101056 is a wasteful number, since it uses less digits than its factorization.

122101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 122101056 is about 11049.9346604403. The cubic root of 122101056 is about 496.1044698433.

Adding to 122101056 its reverse (650101221), we get a palindrome (772202277).

The spelling of 122101056 in words is "one hundred twenty-two million, one hundred one thousand, fifty-six".