201001200102120 has 128 divisors (see below), whose sum is σ = 658905838755840. Its totient is φ = 48647287415040.

The previous prime is 201001200102077. The next prime is 201001200102127. The reversal of 201001200102120 is 21201002100102.

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 = 201001200102096 and 201001200102105.

It is not an unprimeable number, because it can be changed into a prime (201001200102127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124630092 + ... + 126232571.

It is an arithmetic number, because the mean of its divisors is an integer number (5147701865280).

Almost surely, 2^{201001200102120} is an apocalyptic number.

201001200102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001200102120 is an abundant number, since it is smaller than the sum of its proper divisors (457904638653720).

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

201001200102120 is a wasteful number, since it uses less digits than its factorization.

201001200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250863295 (or 250863291 counting only the distinct ones).

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

Adding to 201001200102120 its reverse (21201002100102), we get a palindrome (222202202202222).

The spelling of 201001200102120 in words is "two hundred one trillion, one billion, two hundred million, one hundred two thousand, one hundred twenty".