121001210100020 has 24 divisors (see below), whose sum is σ = 254102895904200. Its totient is φ = 48400416479232.

The previous prime is 121001210099969. The next prime is 121001210100091. The reversal of 121001210100020 is 20001012100121.

It can be written as a sum of positive squares in 4 ways, for example, as 78497225537956 + 42503984562064 = 8859866^2 + 6519508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121001210099974 and 121001210100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11980016 + ... + 19634744.

It is an arithmetic number, because the mean of its divisors is an integer number (10587620662675).

Almost surely, 2^{121001210100020} is an apocalyptic number.

121001210100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001210100020 is an abundant number, since it is smaller than the sum of its proper divisors (133101685804180).

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

121001210100020 is a wasteful number, since it uses less digits than its factorization.

121001210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445107 (or 8445105 counting only the distinct ones).

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

Adding to 121001210100020 its reverse (20001012100121), we get a palindrome (141002222200141).

The spelling of 121001210100020 in words is "one hundred twenty-one trillion, one billion, two hundred ten million, one hundred thousand, twenty".