202100112312000 has 1344 divisors, whose sum is σ = 798206985418752. Its totient is φ = 44898416640000.

The previous prime is 202100112311953. The next prime is 202100112312023. The reversal of 202100112312000 is 213211001202.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13066528267 + ... + 13066543733.

It is an arithmetic number, because the mean of its divisors is an integer number (593904007008).

Almost surely, 2^{202100112312000} is an apocalyptic number.

202100112312000 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 202100112312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399103492709376).

202100112312000 is an abundant number, since it is smaller than the sum of its proper divisors (596106873106752).

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

202100112312000 is a wasteful number, since it uses less digits than its factorization.

202100112312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 202100112312000 its reverse (213211001202), we get a palindrome (202313323313202).

The spelling of 202100112312000 in words is "two hundred two trillion, one hundred billion, one hundred twelve million, three hundred twelve thousand".