201021012100 has 18 divisors (see below), whose sum is σ = 436215596474. Its totient is φ = 80408404800.

The previous prime is 201021012091. The next prime is 201021012103. The reversal of 201021012100 is 1210120102.

It can be written as a sum of positive squares in 3 ways, for example, as 745071616 + 200275940484 = 27296^2 + 447522^2 .

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 (201021012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005104961 + ... + 1005105160.

Almost surely, 2^201021012100 is an apocalyptic number.

201021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021012100 is an abundant number, since it is smaller than the sum of its proper divisors (235194584374).

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

201021012100 is a wasteful number, since it uses less digits than its factorization.

201021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010210135 (or 2010210128 counting only the distinct ones).

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

Adding to 201021012100 its reverse (1210120102), we get a palindrome (202231132202).

The spelling of 201021012100 in words is "two hundred one billion, twenty-one million, twelve thousand, one hundred".