1020201112000 has 112 divisors (see below), whose sum is σ = 2887460791488. Its totient is φ = 349783219200.

The previous prime is 1020201111967. The next prime is 1020201112003. The reversal of 1020201112000 is 2111020201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9052939 + ... + 9164938.

It is an arithmetic number, because the mean of its divisors is an integer number (25780899924).

Almost surely, 2^{1020201112000} is an apocalyptic number.

1020201112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201112000 is an abundant number, since it is smaller than the sum of its proper divisors (1867259679488).

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

1020201112000 is an equidigital number, since it uses as much as digits as its factorization.

1020201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18217911 (or 18217891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020201112000 its reverse (2111020201), we get a palindrome (1022312132201).

The spelling of 1020201112000 in words is "one trillion, twenty billion, two hundred one million, one hundred twelve thousand".