201010200020100 has 108 divisors (see below), whose sum is σ = 636550720518804. Its totient is φ = 53050114621440.

The previous prime is 201010200020083. The next prime is 201010200020111. The reversal of 201010200020100 is 1020002010102.

It can be written as a sum of positive squares in 6 ways, for example, as 9594729271296 + 191415470748804 = 3097536^2 + 13835298^2 .

It is a super-2 number, since 2×201010200020100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1151173869 + ... + 1151348468.

Almost surely, 2^{201010200020100} is an apocalyptic number.

201010200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010200020100 is an abundant number, since it is smaller than the sum of its proper divisors (435540520498704).

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

201010200020100 is a wasteful number, since it uses less digits than its factorization.

201010200020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302522454 (or 2302522444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201010200020100 its reverse (1020002010102), we get a palindrome (202030202030202).

The spelling of 201010200020100 in words is "two hundred one trillion, ten billion, two hundred million, twenty thousand, one hundred".