121021012000000 has 1008 divisors, whose sum is σ = 355728096622080. Its totient is φ = 40227840000000.

The previous prime is 121021011999929. The next prime is 121021012000043. The reversal of 121021012000000 is 210120121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 311107999806 + ... + 311108000194.

It is an arithmetic number, because the mean of its divisors is an integer number (352904857760).

Almost surely, 2^{121021012000000} is an apocalyptic number.

121021012000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177864048311040).

121021012000000 is an abundant number, since it is smaller than the sum of its proper divisors (234707084622080).

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

121021012000000 is an frugal number, since it uses more digits than its factorization.

121021012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121021012000000 its reverse (210120121), we get a palindrome (121021222120121).

The spelling of 121021012000000 in words is "one hundred twenty-one trillion, twenty-one billion, twelve million", and thus it is an aban number.