100121011112111 has 32 divisors (see below), whose sum is σ = 114071196395520. Its totient is φ = 86985805183200.

The previous prime is 100121011112099. The next prime is 100121011112123. The reversal of 100121011112111 is 111211110121001.

It is an interprime number because it is at equal distance from previous prime (100121011112099) and next prime (100121011112123).

It is not a de Polignac number, because 100121011112111 - 2⁶ = 100121011112047 is a prime.

It is a super-2 number, since 2×100121011112111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121011012111) 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, 1806851996 + ... + 1806907406.

It is an arithmetic number, because the mean of its divisors is an integer number (3564724887360).

Almost surely, 2^{100121011112111} is an apocalyptic number.

100121011112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100121011112111 is a deficient number, since it is larger than the sum of its proper divisors (13950185283409).

100121011112111 is a wasteful number, since it uses less digits than its factorization.

100121011112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61547.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100121011112111 its reverse (111211110121001), we get a palindrome (211332121233112).

The spelling of 100121011112111 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred eleven".