10101100212010 has 8 divisors (see below), whose sum is σ = 18181980381636. Its totient is φ = 4040440084800.

The previous prime is 10101100211963. The next prime is 10101100212029. The reversal of 10101100212010 is 1021200110101.

It can be written as a sum of positive squares in 2 ways, for example, as 10100821756041 + 278455969 = 3178179^2 + 16687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1010110021201 = 10101100212010 / (1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 2 + 1 + 2 + 0 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505055010591 + ... + 505055010610.

Almost surely, 2^{10101100212010} is an apocalyptic number.

10101100212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101100212010 is a deficient number, since it is larger than the sum of its proper divisors (8080880169626).

10101100212010 is a wasteful number, since it uses less digits than its factorization.

10101100212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010110021208.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101100212010 its reverse (1021200110101), we get a palindrome (11122300322111).

The spelling of 10101100212010 in words is "ten trillion, one hundred one billion, one hundred million, two hundred twelve thousand, ten".