110100010121001 has 24 divisors (see below), whose sum is σ = 159170744520840. Its totient is φ = 73336610704896.

The previous prime is 110100010120897. The next prime is 110100010121063. The reversal of 110100010121001 is 100121010001011.

It can be written as a sum of positive squares in 4 ways, for example, as 47961095906025 + 62138914214976 = 6925395^2 + 7882824^2 .

It is not a de Polignac number, because 110100010121001 - 2⁹ = 110100010120489 is a prime.

It is a super-2 number, since 2×110100010121001² (a number of 29 digits) contains 22 as substring.

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 (110100010121501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74024865 + ... + 75497553.

It is an arithmetic number, because the mean of its divisors is an integer number (6632114355035).

Almost surely, 2^{110100010121001} is an apocalyptic number.

It is an amenable number.

110100010121001 is a deficient number, since it is larger than the sum of its proper divisors (49070734399839).

110100010121001 is a wasteful number, since it uses less digits than its factorization.

110100010121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479865 (or 1479862 counting only the distinct ones).

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

Adding to 110100010121001 its reverse (100121010001011), we get a palindrome (210221020122012).

The spelling of 110100010121001 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred twenty-one thousand, one".