120100211000 has 256 divisors, whose sum is σ = 353872696320. Its totient is φ = 37060800000.

The previous prime is 120100210991. The next prime is 120100211027. The reversal of 120100211000 is 112001021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7769279 + ... + 7784721.

It is an arithmetic number, because the mean of its divisors is an integer number (1382315220).

Almost surely, 2^120100211000 is an apocalyptic number.

120100211000 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 120100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176936348160).

120100211000 is an abundant number, since it is smaller than the sum of its proper divisors (233772485320).

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

120100211000 is a wasteful number, since it uses less digits than its factorization.

120100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15583 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120100211000 its reverse (112001021), we get a palindrome (120212212021).

It can be divided in two parts, 12010021 and 1000, that added together give a palindrome (12011021).

The spelling of 120100211000 in words is "one hundred twenty billion, one hundred million, two hundred eleven thousand".