201200210112020 has 72 divisors (see below), whose sum is σ = 492120064134216. Its totient is φ = 68896375677696.

The previous prime is 201200210112001. The next prime is 201200210112047. The reversal of 201200210112020 is 20211012002102.

It can be written as a sum of positive squares in 4 ways, for example, as 4644352565776 + 196555857546244 = 2155076^2 + 14019838^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201200210111986 and 201200210112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128018399 + ... + 129580518.

It is an arithmetic number, because the mean of its divisors is an integer number (6835000890753).

Almost surely, 2^{201200210112020} is an apocalyptic number.

201200210112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200210112020 is an abundant number, since it is smaller than the sum of its proper divisors (290919854022196).

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

201200210112020 is a wasteful number, since it uses less digits than its factorization.

201200210112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257599737 (or 257599728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200210112020 its reverse (20211012002102), we get a palindrome (221411222114122).

The spelling of 201200210112020 in words is "two hundred one trillion, two hundred billion, two hundred ten million, one hundred twelve thousand, twenty".