120101211002010 has 384 divisors, whose sum is σ = 349297097610240. Its totient is φ = 26329556736000.

The previous prime is 120101211001987. The next prime is 120101211002041. The reversal of 120101211002010 is 10200112101021.

120101211002010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1257938575 + ... + 1258034045.

It is an arithmetic number, because the mean of its divisors is an integer number (909627858360).

Almost surely, 2^{120101211002010} is an apocalyptic number.

120101211002010 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 120101211002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174648548805120).

120101211002010 is an abundant number, since it is smaller than the sum of its proper divisors (229195886608230).

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

120101211002010 is a wasteful number, since it uses less digits than its factorization.

120101211002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95862 (or 95855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120101211002010 its reverse (10200112101021), we get a palindrome (130301323103031).

The spelling of 120101211002010 in words is "one hundred twenty trillion, one hundred one billion, two hundred eleven million, two thousand, ten".