201001011012100 has 72 divisors (see below), whose sum is σ = 476339730931008. Its totient is φ = 73170465513600.

The previous prime is 201001011012073. The next prime is 201001011012101. The reversal of 201001011012100 is 1210110100102.

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

It is not an unprimeable number, because it can be changed into a prime (201001011012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088753914 + ... + 1088938513.

It is an arithmetic number, because the mean of its divisors is an integer number (6615829596264).

Almost surely, 2^{201001011012100} is an apocalyptic number.

201001011012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001011012100 is an abundant number, since it is smaller than the sum of its proper divisors (275338719918908).

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

201001011012100 is a wasteful number, since it uses less digits than its factorization.

201001011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177692525 (or 2177692518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201001011012100 its reverse (1210110100102), we get a palindrome (202211121112202).

The spelling of 201001011012100 in words is "two hundred one trillion, one billion, eleven million, twelve thousand, one hundred".