1000201012100 has 18 divisors (see below), whose sum is σ = 2170436196474. Its totient is φ = 400080404800.

The previous prime is 1000201012003. The next prime is 1000201012159. The reversal of 1000201012100 is 12101020001.

It can be written as a sum of positive squares in 3 ways, for example, as 175606254916 + 824594757184 = 419054^2 + 908072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5001004961 + ... + 5001005160.

It is an arithmetic number, because the mean of its divisors is an integer number (120579788693).

Almost surely, 2^{1000201012100} is an apocalyptic number.

1000201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000201012100 is an abundant number, since it is smaller than the sum of its proper divisors (1170235184374).

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

1000201012100 is a wasteful number, since it uses less digits than its factorization.

1000201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002010135 (or 10002010128 counting only the distinct ones).

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

Adding to 1000201012100 its reverse (12101020001), we get a palindrome (1012302032101).

The spelling of 1000201012100 in words is "one trillion, two hundred one million, twelve thousand, one hundred".