100121122102009 has 8 divisors (see below), whose sum is σ = 105391803815840. Its totient is φ = 94850555285376.

The previous prime is 100121122101943. The next prime is 100121122102021. The reversal of 100121122102009 is 900201221121001.

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

It is not a de Polignac number, because 100121122102009 - 2²⁹ = 100120585231097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121122102109) 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, 26932767 + ... + 30423940.

It is an arithmetic number, because the mean of its divisors is an integer number (13173975476980).

Almost surely, 2^{100121122102009} is an apocalyptic number.

100121122102009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100121122102009 is a deficient number, since it is larger than the sum of its proper divisors (5270681713831).

100121122102009 is an equidigital number, since it uses as much as digits as its factorization.

100121122102009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57448599.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100121122102009 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, nine".