100121012211001 has 8 divisors (see below), whose sum is σ = 100413197942400. Its totient is φ = 99828856800528.

The previous prime is 100121012210953. The next prime is 100121012211007. The reversal of 100121012211001 is 100112210121001.

It is a happy number.

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 100121012211001 - 2¹⁷ = 100121012079929 is a prime.

It is a super-2 number, since 2×100121012211001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121012211007) 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, 958081 + ... + 14183086.

It is an arithmetic number, because the mean of its divisors is an integer number (12551649742800).

Almost surely, 2^{100121012211001} is an apocalyptic number.

It is an amenable number.

100121012211001 is a deficient number, since it is larger than the sum of its proper divisors (292185731399).

100121012211001 is a wasteful number, since it uses less digits than its factorization.

100121012211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15160463.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121012211001 its reverse (100112210121001), we get a palindrome (200233222332002).

The spelling of 100121012211001 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, one".