122002100001000 has 96 divisors (see below), whose sum is σ = 412367098033800. Its totient is φ = 32533893331200.

The previous prime is 122002100000983. The next prime is 122002100001007. The reversal of 122002100001000 is 100001200221.

It can be written as a sum of positive squares in 4 ways, for example, as 55269440972964 + 66732659028036 = 7434342^2 + 8169006^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122002100001007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6777885445 + ... + 6777903444.

Almost surely, 2^{122002100001000} is an apocalyptic number.

122002100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002100001000 is an abundant number, since it is smaller than the sum of its proper divisors (290364998032800).

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

122002100001000 is a wasteful number, since it uses less digits than its factorization.

122002100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555788916 (or 13555788899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122002100001000 its reverse (100001200221), we get a palindrome (122102101201221).

The spelling of 122002100001000 in words is "one hundred twenty-two trillion, two billion, one hundred million, one thousand".