1020201001100 has 36 divisors (see below), whose sum is σ = 2214371943000. Its totient is φ = 407981640960.

The previous prime is 1020201001091. The next prime is 1020201001163. The reversal of 1020201001100 is 11001020201.

1020201001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818525 + ... + 1646324.

It is an arithmetic number, because the mean of its divisors is an integer number (61510331750).

Almost surely, 2^{1020201001100} is an apocalyptic number.

1020201001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201001100 is an abundant number, since it is smaller than the sum of its proper divisors (1194170941900).

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

1020201001100 is a wasteful number, since it uses less digits than its factorization.

1020201001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469002 (or 2468995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020201001100 its reverse (11001020201), we get a palindrome (1031202021301).

The spelling of 1020201001100 in words is "one trillion, twenty billion, two hundred one million, one thousand, one hundred".