100121201000121 has 48 divisors (see below), whose sum is σ = 155609655720000. Its totient is φ = 57094369057152.

The previous prime is 100121201000101. The next prime is 100121201000131. The reversal of 100121201000121 is 121000102121001.

It is not a de Polignac number, because 100121201000121 - 2⁵ = 100121201000089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121201000097 and 100121201000106.

It is not an unprimeable number, because it can be changed into a prime (100121201000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631079731 + ... + 2631117783.

It is an arithmetic number, because the mean of its divisors is an integer number (3241867827500).

Almost surely, 2^{100121201000121} is an apocalyptic number.

It is an amenable number.

100121201000121 is a deficient number, since it is larger than the sum of its proper divisors (55488454719879).

100121201000121 is a wasteful number, since it uses less digits than its factorization.

100121201000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74438 (or 74431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121201000121 its reverse (121000102121001), we get a palindrome (221121303121122).

The spelling of 100121201000121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one", and thus it is an aban number.