100121012002121 has 4 divisors (see below), whose sum is σ = 109222922184144. Its totient is φ = 91019101820100.

The previous prime is 100121012002117. The next prime is 100121012002133. The reversal of 100121012002121 is 121200210121001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100121012002121 - 2² = 100121012002117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121012002096 and 100121012002105.

It is not an unprimeable number, because it can be changed into a prime (100121012002621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550955090995 + ... + 4550955091016.

It is an arithmetic number, because the mean of its divisors is an integer number (27305730546036).

Almost surely, 2^{100121012002121} is an apocalyptic number.

100121012002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121012002121 is a deficient number, since it is larger than the sum of its proper divisors (9101910182023).

100121012002121 is an equidigital number, since it uses as much as digits as its factorization.

100121012002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101910182022.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121012002121 its reverse (121200210121001), we get a palindrome (221321222123122).

The spelling of 100121012002121 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, two thousand, one hundred twenty-one".