122100101000 has 64 divisors (see below), whose sum is σ = 290398221360. Its totient is φ = 48039360000.

The previous prime is 122100100987. The next prime is 122100101051. The reversal of 122100101000 is 101001221.

122100101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 936237604 + 121163863396 = 30598^2 + 348086^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939821 + ... + 1061820.

Almost surely, 2^122100101000 is an apocalyptic number.

122100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100101000 is an abundant number, since it is smaller than the sum of its proper divisors (168298120360).

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

122100101000 is a wasteful number, since it uses less digits than its factorization.

122100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001723 (or 2001709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 122100101000 its reverse (101001221), we get a palindrome (122201102221).

The spelling of 122100101000 in words is "one hundred twenty-two billion, one hundred million, one hundred one thousand".