100101121001 has 8 divisors (see below), whose sum is σ = 114403197504. Its totient is φ = 85799523600.

The previous prime is 100101120983. The next prime is 100101121039. The reversal of 100101121001 is 100121101001.

It is a happy number.

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

It is not a de Polignac number, because 100101121001 - 2¹⁴ = 100101104617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101121001.

It is not an unprimeable number, because it can be changed into a prime (100101127001) 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, 728111 + ... + 854603.

It is an arithmetic number, because the mean of its divisors is an integer number (14300399688).

Almost surely, 2^100101121001 is an apocalyptic number.

It is an amenable number.

100101121001 is a deficient number, since it is larger than the sum of its proper divisors (14302076503).

100101121001 is a wasteful number, since it uses less digits than its factorization.

100101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239551.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101121001 its reverse (100121101001), we get a palindrome (200222222002).

It can be divided in two parts, 100 and 101121001, that added together give a palindrome (101121101).

The spelling of 100101121001 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, one".