10100011100202 has 48 divisors (see below), whose sum is σ = 21968006996520. Its totient is φ = 3353669755776.

The previous prime is 10100011100197. The next prime is 10100011100213. The reversal of 10100011100202 is 20200111000101.

It is a happy number.

10100011100202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8489292222321 + 1610718877881 = 2913639^2 + 1269141^2 .

It is a super-2 number, since 2×10100011100202² (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 4479528 + ... + 6345564.

Almost surely, 2^{10100011100202} is an apocalyptic number.

10100011100202 is an abundant number, since it is smaller than the sum of its proper divisors (11867995896318).

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

10100011100202 is a wasteful number, since it uses less digits than its factorization.

10100011100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867207 (or 1867204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100011100202 its reverse (20200111000101), we get a palindrome (30300122100303).

The spelling of 10100011100202 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, two hundred two".