10122112221221 has 32 divisors (see below), whose sum is σ = 13846953431808. Its totient is φ = 7143269552640.

The previous prime is 10122112221209. The next prime is 10122112221241. The reversal of 10122112221221 is 12212221122101.

It is not a de Polignac number, because 10122112221221 - 2¹⁰ = 10122112220197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122112221193 and 10122112221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112221241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95343176 + ... + 95449281.

It is an arithmetic number, because the mean of its divisors is an integer number (432717294744).

Almost surely, 2^{10122112221221} is an apocalyptic number.

10122112221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122112221221 is a deficient number, since it is larger than the sum of its proper divisors (3724841210587).

10122112221221 is a wasteful number, since it uses less digits than its factorization.

10122112221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190792541.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10122112221221 its reverse (12212221122101), we get a palindrome (22334333343322).

The spelling of 10122112221221 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".