120102002120100 has 1152 divisors, whose sum is σ = 488220263903232. Its totient is φ = 21990926131200.

The previous prime is 120102002120069. The next prime is 120102002120129. The reversal of 120102002120100 is 1021200201021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 588786327 + ... + 588990273.

It is an arithmetic number, because the mean of its divisors is an integer number (423802312416).

Almost surely, 2^{120102002120100} is an apocalyptic number.

120102002120100 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 120102002120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244110131951616).

120102002120100 is an abundant number, since it is smaller than the sum of its proper divisors (368118261783132).

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

120102002120100 is a wasteful number, since it uses less digits than its factorization.

120102002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204085 (or 204078 counting only the distinct ones).

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

Adding to 120102002120100 its reverse (1021200201021), we get a palindrome (121123202321121).

The spelling of 120102002120100 in words is "one hundred twenty trillion, one hundred two billion, two million, one hundred twenty thousand, one hundred".