100121012122011 has 16 divisors (see below), whose sum is σ = 134677036944384. Its totient is φ = 66156173000064.

The previous prime is 100121012121983. The next prime is 100121012122039. The reversal of 100121012122011 is 110221210121001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100121012121983) and next prime (100121012122039).

It is not a de Polignac number, because 100121012122011 - 2¹⁹ = 100121011597723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121012120011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48706350 + ... + 50720316.

It is an arithmetic number, because the mean of its divisors is an integer number (8417314809024).

Almost surely, 2^{100121012122011} is an apocalyptic number.

100121012122011 is a deficient number, since it is larger than the sum of its proper divisors (34556024822373).

100121012122011 is a wasteful number, since it uses less digits than its factorization.

100121012122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160730.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121012122011 its reverse (110221210121001), we get a palindrome (210342222243012).

The spelling of 100121012122011 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, eleven".