122122101012021 has 256 divisors, whose sum is σ = 214519726080000. Its totient is φ = 67931702092800.

The previous prime is 122122101012007. The next prime is 122122101012029. The reversal of 122122101012021 is 120210101221221.

It is not a de Polignac number, because 122122101012021 - 2¹³ = 122122101003829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122101011985 and 122122101012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122101012029) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4155352995 + ... + 4155382383.

It is an arithmetic number, because the mean of its divisors is an integer number (837967680000).

Almost surely, 2^{122122101012021} is an apocalyptic number.

122122101012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122101012021 is a deficient number, since it is larger than the sum of its proper divisors (92397625067979).

122122101012021 is a wasteful number, since it uses less digits than its factorization.

122122101012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29745 (or 29739 counting only the distinct ones).

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

Adding to 122122101012021 its reverse (120210101221221), we get a palindrome (242332202233242).

The spelling of 122122101012021 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, twenty-one".