120121001100210 has 128 divisors (see below), whose sum is σ = 320368477777920. Its totient is φ = 28578402176000.

The previous prime is 120121001100193. The next prime is 120121001100211. The reversal of 120121001100210 is 12001100121021.

It is not an unprimeable number, because it can be changed into a prime (120121001100211) 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, 6343735 + ... + 16747685.

It is an arithmetic number, because the mean of its divisors is an integer number (2502878732640).

Almost surely, 2^{120121001100210} is an apocalyptic number.

120121001100210 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 120121001100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160184238888960).

120121001100210 is an abundant number, since it is smaller than the sum of its proper divisors (200247476677710).

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

120121001100210 is a wasteful number, since it uses less digits than its factorization.

120121001100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10404624.

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

Adding to 120121001100210 its reverse (12001100121021), we get a palindrome (132122101221231).

The spelling of 120121001100210 in words is "one hundred twenty trillion, one hundred twenty-one billion, one million, one hundred thousand, two hundred ten".