101200002120 has 384 divisors, whose sum is σ = 380523536640. Its totient is φ = 22847569920.

The previous prime is 101200002097. The next prime is 101200002149. The reversal of 101200002120 is 21200002101.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 132982540 + ... + 132983300.

It is an arithmetic number, because the mean of its divisors is an integer number (990946710).

Almost surely, 2^101200002120 is an apocalyptic number.

101200002120 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 101200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190261768320).

101200002120 is an abundant number, since it is smaller than the sum of its proper divisors (279323534520).

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

101200002120 is a wasteful number, since it uses less digits than its factorization.

101200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200002120 its reverse (21200002101), we get a palindrome (122400004221).

The spelling of 101200002120 in words is "one hundred one billion, two hundred million, two thousand, one hundred twenty".