122100000210020 has 72 divisors (see below), whose sum is σ = 298769153369400. Its totient is φ = 41793201676800.

The previous prime is 122100000209989. The next prime is 122100000210031. The reversal of 122100000210020 is 20012000001221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15376389783076 + 106723610426944 = 3921274^2 + 10330712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122100000209983 and 122100000210010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103064795 + ... + 104242754.

It is an arithmetic number, because the mean of its divisors is an integer number (4149571574575).

Almost surely, 2^{122100000210020} is an apocalyptic number.

122100000210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100000210020 is an abundant number, since it is smaller than the sum of its proper divisors (176669153159380).

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

122100000210020 is a wasteful number, since it uses less digits than its factorization.

122100000210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207308173 (or 207308164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100000210020 its reverse (20012000001221), we get a palindrome (142112000211241).

The spelling of 122100000210020 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten thousand, twenty".