121020020010 has 96 divisors (see below), whose sum is σ = 322088203008. Its totient is φ = 31509878400.

The previous prime is 121020019993. The next prime is 121020020027. The reversal of 121020020010 is 10020020121.

121020020010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121020019993) and next prime (121020020027).

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

It is a junction number, because it is equal to n+sod(n) for n = 121020019974 and 121020020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16919935 + ... + 16927085.

It is an arithmetic number, because the mean of its divisors is an integer number (3355085448).

Almost surely, 2^121020020010 is an apocalyptic number.

121020020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161044101504).

121020020010 is an abundant number, since it is smaller than the sum of its proper divisors (201068182998).

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

121020020010 is a wasteful number, since it uses less digits than its factorization.

121020020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11577 counting only the distinct ones).

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

Adding to 121020020010 its reverse (10020020121), we get a palindrome (131040040131).

The spelling of 121020020010 in words is "one hundred twenty-one billion, twenty million, twenty thousand, ten".