121002111000020 has 24 divisors (see below), whose sum is σ = 254127985729800. Its totient is φ = 48396358184832.

The previous prime is 121002110999999. The next prime is 121002111000059. The reversal of 121002111000020 is 20000111200121.

It can be written as a sum of positive squares in 4 ways, for example, as 10778233452484 + 110223877547536 = 3283022^2 + 10498756^2 .

It is a super-2 number, since 2×121002111000020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121002110999965 and 121002111000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280167275 + ... + 280598834.

It is an arithmetic number, because the mean of its divisors is an integer number (10588666072075).

Almost surely, 2^{121002111000020} is an apocalyptic number.

121002111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002111000020 is an abundant number, since it is smaller than the sum of its proper divisors (133125874729780).

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

121002111000020 is a wasteful number, since it uses less digits than its factorization.

121002111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560776907 (or 560776905 counting only the distinct ones).

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

Adding to 121002111000020 its reverse (20000111200121), we get a palindrome (141002222200141).

The spelling of 121002111000020 in words is "one hundred twenty-one trillion, two billion, one hundred eleven million, twenty", and thus it is an aban number.