120101210100 has 216 divisors, whose sum is σ = 379055738880. Its totient is φ = 31806240000.

The previous prime is 120101210083. The next prime is 120101210107. The reversal of 120101210100 is 1012101021.

It is a happy number.

It is a super-3 number, since 3×120101210100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104344525 + ... + 104345675.

It is an arithmetic number, because the mean of its divisors is an integer number (1754887680).

Almost surely, 2^120101210100 is an apocalyptic number.

120101210100 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 120101210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189527869440).

120101210100 is an abundant number, since it is smaller than the sum of its proper divisors (258954528780).

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

120101210100 is a wasteful number, since it uses less digits than its factorization.

120101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120101210100 its reverse (1012101021), we get a palindrome (121113311121).

The spelling of 120101210100 in words is "one hundred twenty billion, one hundred one million, two hundred ten thousand, one hundred".