121201002102000 has 160 divisors (see below), whose sum is σ = 390773888781120. Its totient is φ = 32318459289600.

The previous prime is 121201002101969. The next prime is 121201002102017. The reversal of 121201002102000 is 201200102121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108458104 + ... + 109569896.

It is an arithmetic number, because the mean of its divisors is an integer number (2442336804882).

Almost surely, 2^{121201002102000} is an apocalyptic number.

121201002102000 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 121201002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195386944390560).

121201002102000 is an abundant number, since it is smaller than the sum of its proper divisors (269572886679120).

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

121201002102000 is a wasteful number, since it uses less digits than its factorization.

121201002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129988 (or 1129972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121201002102000 its reverse (201200102121), we get a palindrome (121402202204121).

The spelling of 121201002102000 in words is "one hundred twenty-one trillion, two hundred one billion, two million, one hundred two thousand".