100110100102021 has 8 divisors (see below), whose sum is σ = 101326459167000. Its totient is φ = 98898156134400.

The previous prime is 100110100101997. The next prime is 100110100102027. The reversal of 100110100102021 is 120201001011001.

It can be written as a sum of positive squares in 4 ways, for example, as 48985455079521 + 51124645022500 = 6998961^2 + 7150150^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100110100102021 - 2²¹ = 100110098004869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110100101989 and 100110100102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100102027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103728716 + ... + 1103819413.

It is an arithmetic number, because the mean of its divisors is an integer number (12665807395875).

Almost surely, 2^{100110100102021} is an apocalyptic number.

It is an amenable number.

100110100102021 is a deficient number, since it is larger than the sum of its proper divisors (1216359064979).

100110100102021 is a wasteful number, since it uses less digits than its factorization.

100110100102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207548679.

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

Adding to 100110100102021 its reverse (120201001011001), we get a palindrome (220311101113022).

The spelling of 100110100102021 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred two thousand, twenty-one".