100121111022101 has 16 divisors (see below), whose sum is σ = 108549141456000. Its totient is φ = 91796884538688.

The previous prime is 100121111022071. The next prime is 100121111022109. The reversal of 100121111022101 is 101220111121001.

It is a cyclic number.

It is not a de Polignac number, because 100121111022101 - 2¹⁴ = 100121111005717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121111022109) 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, 77847470 + ... + 79123136.

It is an arithmetic number, because the mean of its divisors is an integer number (6784321341000).

Almost surely, 2^{100121111022101} is an apocalyptic number.

It is an amenable number.

100121111022101 is a deficient number, since it is larger than the sum of its proper divisors (8428030433899).

100121111022101 is a wasteful number, since it uses less digits than its factorization.

100121111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316348.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121111022101 its reverse (101220111121001), we get a palindrome (201341222143102).

The spelling of 100121111022101 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, twenty-two thousand, one hundred one".