122101121000 has 32 divisors (see below), whose sum is σ = 285716625480. Its totient is φ = 48840448000.

The previous prime is 122101120963. The next prime is 122101121017. The reversal of 122101121000 is 121101221.

It can be written as a sum of positive squares in 4 ways, for example, as 13824586084 + 108276534916 = 117578^2 + 329054^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61049561 + ... + 61051560.

Almost surely, 2^122101121000 is an apocalyptic number.

122101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101121000 is an abundant number, since it is smaller than the sum of its proper divisors (163615504480).

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

122101121000 is a wasteful number, since it uses less digits than its factorization.

122101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122101142 (or 122101128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122101121000 its reverse (121101221), we get a palindrome (122222222221).

The spelling of 122101121000 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand".