100110101010021 has 6 divisors (see below), whose sum is σ = 144603479236710. Its totient is φ = 66740067340008.

The previous prime is 100110101010019. The next prime is 100110101010047. The reversal of 100110101010021 is 120010101011001.

It can be written as a sum of positive squares in only one way, i.e., 99328929632100 + 781171377921 = 9966390^2 + 883839^2 .

It is not a de Polignac number, because 100110101010021 - 2¹ = 100110101010019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123344556669 = 100110101010021 / (1 + 0 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100110101009985 and 100110101010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101010061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561672278326 + ... + 5561672278343.

It is an arithmetic number, because the mean of its divisors is an integer number (24100579872785).

Almost surely, 2^{100110101010021} is an apocalyptic number.

It is an amenable number.

100110101010021 is a deficient number, since it is larger than the sum of its proper divisors (44493378226689).

100110101010021 is a wasteful number, since it uses less digits than its factorization.

100110101010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123344556675 (or 11123344556672 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110101010021 its reverse (120010101011001), we get a palindrome (220120202021022).

The spelling of 100110101010021 in words is "one hundred trillion, one hundred ten billion, one hundred one million, ten thousand, twenty-one".