100110212001 has 12 divisors (see below), whose sum is σ = 144615172260. Its totient is φ = 66734818560.

The previous prime is 100110211973. The next prime is 100110212009. The reversal of 100110212001 is 100212011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91278911376 + 8831300625 = 302124^2 + 93975^2 .

It is not a de Polignac number, because 100110212001 - 2⁹ = 100110211489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100110212009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322716 + ... + 551693.

It is an arithmetic number, because the mean of its divisors is an integer number (12051264355).

Almost surely, 2^100110212001 is an apocalyptic number.

It is an amenable number.

100110212001 is a deficient number, since it is larger than the sum of its proper divisors (44504960259).

100110212001 is a wasteful number, since it uses less digits than its factorization.

100110212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887136 (or 887133 counting only the distinct ones).

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

Adding to 100110212001 its reverse (100212011001), we get a palindrome (200322223002).

The spelling of 100110212001 in words is "one hundred billion, one hundred ten million, two hundred twelve thousand, one".