121102121102000 has 320 divisors, whose sum is σ = 298455115435776. Its totient is φ = 47520000000000.

The previous prime is 121102121101991. The next prime is 121102121102009. The reversal of 121102121102000 is 201121201121.

It is an interprime number because it is at equal distance from previous prime (121102121101991) and next prime (121102121102009).

It is not an unprimeable number, because it can be changed into a prime (121102121102009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12231297050 + ... + 12231306950.

Almost surely, 2^{121102121102000} is an apocalyptic number.

121102121102000 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 121102121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149227557717888).

121102121102000 is an abundant number, since it is smaller than the sum of its proper divisors (177352994333776).

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

121102121102000 is a wasteful number, since it uses less digits than its factorization.

121102121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121102121102000 its reverse (201121201121), we get a palindrome (121303242303121).

The spelling of 121102121102000 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, one hundred two thousand".