122102211002000 has 80 divisors (see below), whose sum is σ = 310782259257600. Its totient is φ = 46270311523200.

The previous prime is 122102211001997. The next prime is 122102211002003. The reversal of 122102211002000 is 200112201221.

It is an interprime number because it is at equal distance from previous prime (122102211001997) and next prime (122102211002003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122102211002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606570040 + ... + 1606646039.

It is an arithmetic number, because the mean of its divisors is an integer number (3884778240720).

Almost surely, 2^{122102211002000} is an apocalyptic number.

122102211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102211002000 is an abundant number, since it is smaller than the sum of its proper divisors (188680048255600).

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

122102211002000 is a wasteful number, since it uses less digits than its factorization.

122102211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213216121 (or 3213216105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102211002000 its reverse (200112201221), we get a palindrome (122302323203221).

The spelling of 122102211002000 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred eleven million, two thousand".