122101020 has 240 divisors, whose sum is σ = 417130560. Its totient is φ = 29804544.

The previous prime is 122101019. The next prime is 122101061. The reversal of 122101020 is 20101221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122100993 and 122101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1080484 + ... + 1080596.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^122101020 is an apocalyptic number.

122101020 is a gapful number since it is divisible by the number (10) 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 122101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

122101020 is an abundant number, since it is smaller than the sum of its proper divisors (295029540).

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

122101020 is a wasteful number, since it uses less digits than its factorization.

122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122101020 is about 11049.9330314713. The cubic root of 122101020 is about 496.1044210865.

Adding to 122101020 its reverse (20101221), we get a palindrome (142202241).

The spelling of 122101020 in words is "one hundred twenty-two million, one hundred one thousand, twenty".