10122121220 has 12 divisors (see below), whose sum is σ = 21256454604. Its totient is φ = 4048848480.

The previous prime is 10122121213. The next prime is 10122121259. The reversal of 10122121220 is 2212122101.

It can be written as a sum of positive squares in 2 ways, for example, as 7968418756 + 2153702464 = 89266^2 + 46408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122121195 and 10122121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253053011 + ... + 253053050.

It is an arithmetic number, because the mean of its divisors is an integer number (1771371217).

Almost surely, 2^10122121220 is an apocalyptic number.

10122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121220 is an abundant number, since it is smaller than the sum of its proper divisors (11134333384).

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

10122121220 is a wasteful number, since it uses less digits than its factorization.

10122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506106070 (or 506106068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122121220 its reverse (2212122101), we get a palindrome (12334243321).

The spelling of 10122121220 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".