202013214010000 has 100 divisors (see below), whose sum is σ = 489116661966592. Its totient is φ = 80801573328000.

The previous prime is 202013214009973. The next prime is 202013214010007. The reversal of 202013214010000 is 10412310202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202013214010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222577117 + ... + 223482883.

Almost surely, 2^{202013214010000} is an apocalyptic number.

202013214010000 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 202013214010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244558330983296).

202013214010000 is an abundant number, since it is smaller than the sum of its proper divisors (287103447956592).

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

202013214010000 is an equidigital number, since it uses as much as digits as its factorization.

202013214010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928098 (or 928077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202013214010000 its reverse (10412310202), we get a palindrome (202023626320202).

The spelling of 202013214010000 in words is "two hundred two trillion, thirteen billion, two hundred fourteen million, ten thousand".