100121111122101 has 32 divisors (see below), whose sum is σ = 137154705787008. Its totient is φ = 64918833350400.

The previous prime is 100121111122079. The next prime is 100121111122133. The reversal of 100121111122101 is 101221111121001.

It is not a de Polignac number, because 100121111122101 - 2¹⁵ = 100121111089333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121111122141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4980891951 + ... + 4980912051.

It is an arithmetic number, because the mean of its divisors is an integer number (4286084555844).

Almost surely, 2^{100121111122101} is an apocalyptic number.

It is an amenable number.

100121111122101 is a deficient number, since it is larger than the sum of its proper divisors (37033594664907).

100121111122101 is a wasteful number, since it uses less digits than its factorization.

100121111122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34901.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100121111122101 its reverse (101221111121001), we get a palindrome (201342222243102).

The spelling of 100121111122101 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".