122101121010 has 128 divisors (see below), whose sum is σ = 337318732800. Its totient is φ = 27974833920.

The previous prime is 122101120963. The next prime is 122101121017. The reversal of 122101121010 is 10121101221.

It is not an unprimeable number, because it can be changed into a prime (122101121017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603892 + ... + 2650368.

It is an arithmetic number, because the mean of its divisors is an integer number (2635302600).

Almost surely, 2^122101121010 is an apocalyptic number.

122101121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168659366400).

122101121010 is an abundant number, since it is smaller than the sum of its proper divisors (215217611790).

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

122101121010 is a wasteful number, since it uses less digits than its factorization.

122101121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46936.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101121010 its reverse (10121101221), we get a palindrome (132222222231).

The spelling of 122101121010 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, ten".