201000210102120 has 512 divisors, whose sum is σ = 716447838758400. Its totient is φ = 44470646784000.

The previous prime is 201000210102103. The next prime is 201000210102143. The reversal of 201000210102120 is 21201012000102.

It is a super-2 number, since 2×201000210102120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000210102096 and 201000210102105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1228728654 + ... + 1228892226.

It is an arithmetic number, because the mean of its divisors is an integer number (1399312185075).

Almost surely, 2^{201000210102120} is an apocalyptic number.

201000210102120 is a gapful number since it is divisible by the number (20) 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 201000210102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358223919379200).

201000210102120 is an abundant number, since it is smaller than the sum of its proper divisors (515447628656280).

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

201000210102120 is a wasteful number, since it uses less digits than its factorization.

201000210102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164421 (or 164417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000210102120 its reverse (21201012000102), we get a palindrome (222201222102222).

The spelling of 201000210102120 in words is "two hundred one trillion, two hundred ten million, one hundred two thousand, one hundred twenty".