10001100212010 has 96 divisors (see below), whose sum is σ = 26822261129040. Its totient is φ = 2583548504064.

The previous prime is 10001100212003. The next prime is 10001100212149. The reversal of 10001100212010 is 1021200110001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8854129896921 + 1146970315089 = 2975589^2 + 1070967^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10001100211983 and 10001100212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5794927 + ... + 7320066.

Almost surely, 2^{10001100212010} is an apocalyptic number.

10001100212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001100212010 is an abundant number, since it is smaller than the sum of its proper divisors (16821160917030).

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

10001100212010 is a wasteful number, since it uses less digits than its factorization.

10001100212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115272 (or 13115269 counting only the distinct ones).

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

Adding to 10001100212010 its reverse (1021200110001), we get a palindrome (11022300322011).

The spelling of 10001100212010 in words is "ten trillion, one billion, one hundred million, two hundred twelve thousand, ten".