122121102101220 has 144 divisors (see below), whose sum is σ = 400469200098240. Its totient is φ = 30017818522368.

The previous prime is 122121102101197. The next prime is 122121102101281. The reversal of 122121102101220 is 22101201121221.

122121102101220 is a `hidden beast` number, since 1 + 2 + 21 + 211 + 0 + 210 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122121102101193 and 122121102101202.

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, 482412982 + ... + 482666061.

Almost surely, 2^{122121102101220} is an apocalyptic number.

122121102101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121102101220 is an abundant number, since it is smaller than the sum of its proper divisors (278348097997020).

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

122121102101220 is a wasteful number, since it uses less digits than its factorization.

122121102101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965079114 (or 965079109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122121102101220 its reverse (22101201121221), we get a palindrome (144222303222441).

The spelling of 122121102101220 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred twenty".