10122121112220 has 72 divisors (see below), whose sum is σ = 33065595640896. Its totient is φ = 2491599042432.

The previous prime is 10122121112209. The next prime is 10122121112239. The reversal of 10122121112220 is 2221112122101.

10122121112220 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 211 + 12 + 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 = 10122121112193 and 10122121112202.

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, 2162844052 + ... + 2162848731.

Almost surely, 2^{10122121112220} is an apocalyptic number.

10122121112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121112220 is an abundant number, since it is smaller than the sum of its proper divisors (22943474528676).

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

10122121112220 is a wasteful number, since it uses less digits than its factorization.

10122121112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325692811 (or 4325692806 counting only the distinct ones).

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

Adding to 10122121112220 its reverse (2221112122101), we get a palindrome (12343233234321).

The spelling of 10122121112220 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".