201100001022100 has 36 divisors (see below), whose sum is σ = 436583484916348. Its totient is φ = 80403782400000.

The previous prime is 201100001022031. The next prime is 201100001022113. The reversal of 201100001022100 is 1220100001102.

It can be written as a sum of positive squares in 6 ways, for example, as 19333573824016 + 181766427198084 = 4396996^2 + 13482078^2 .

It is a super-2 number, since 2×201100001022100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 452501901 + ... + 452946100.

Almost surely, 2^{201100001022100} is an apocalyptic number.

201100001022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100001022100 is an abundant number, since it is smaller than the sum of its proper divisors (235483483894248).

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

201100001022100 is a wasteful number, since it uses less digits than its factorization.

201100001022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905450236 (or 905450229 counting only the distinct ones).

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

Adding to 201100001022100 its reverse (1220100001102), we get a palindrome (202320101023202).

The spelling of 201100001022100 in words is "two hundred one trillion, one hundred billion, one million, twenty-two thousand, one hundred".