201020010012100 has 108 divisors (see below), whose sum is σ = 467483160779964. Its totient is φ = 75008402309120.

The previous prime is 201020010012091. The next prime is 201020010012109. The reversal of 201020010012100 is 1210010020102.

It is an interprime number because it is at equal distance from previous prime (201020010012091) and next prime (201020010012109).

It can be written as a sum of positive squares in 18 ways, for example, as 173760062148864 + 27259947863236 = 13181808^2 + 5221106^2 .

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 (201020010012109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27511777 + ... + 34043176.

Almost surely, 2^{201020010012100} is an apocalyptic number.

201020010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020010012100 is an abundant number, since it is smaller than the sum of its proper divisors (266463150767864).

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

201020010012100 is a wasteful number, since it uses less digits than its factorization.

201020010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61555114 (or 61555090 counting only the distinct ones).

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

Adding to 201020010012100 its reverse (1210010020102), we get a palindrome (202230020032202).

The spelling of 201020010012100 in words is "two hundred one trillion, twenty billion, ten million, twelve thousand, one hundred".