100111102102121 has 24 divisors (see below), whose sum is σ = 114533037123552. Its totient is φ = 86759741217600.

The previous prime is 100111102102111. The next prime is 100111102102129. The reversal of 100111102102121 is 121201201111001.

It is not a de Polignac number, because 100111102102121 - 2⁶ = 100111102102057 is a prime.

It is a super-2 number, since 2×100111102102121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111102102096 and 100111102102105.

It is not an unprimeable number, because it can be changed into a prime (100111102102129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69966020 + ... + 71382533.

It is an arithmetic number, because the mean of its divisors is an integer number (4772209880148).

Almost surely, 2^{100111102102121} is an apocalyptic number.

100111102102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111102102121 is a deficient number, since it is larger than the sum of its proper divisors (14421935021431).

100111102102121 is a wasteful number, since it uses less digits than its factorization.

100111102102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141348693 (or 141348662 counting only the distinct ones).

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

Adding to 100111102102121 its reverse (121201201111001), we get a palindrome (221312303213122).

The spelling of 100111102102121 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, one hundred two thousand, one hundred twenty-one".