31200201212100 has 288 divisors, whose sum is σ = 93527068884480. Its totient is φ = 8025029160960.

The previous prime is 31200201212093. The next prime is 31200201212153. The reversal of 31200201212100 is 121210200213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31200201212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3018298132 + ... + 3018308468.

It is an arithmetic number, because the mean of its divisors is an integer number (324746766960).

Almost surely, 2^{31200201212100} is an apocalyptic number.

31200201212100 is a gapful number since it is divisible by the number (30) 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 31200201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46763534442240).

31200201212100 is an abundant number, since it is smaller than the sum of its proper divisors (62326867672380).

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

31200201212100 is a wasteful number, since it uses less digits than its factorization.

31200201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13299 (or 13292 counting only the distinct ones).

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

Adding to 31200201212100 its reverse (121210200213), we get a palindrome (31321411412313).

The spelling of 31200201212100 in words is "thirty-one trillion, two hundred billion, two hundred one million, two hundred twelve thousand, one hundred".