100011102102021 has 24 divisors (see below), whose sum is σ = 146633539302432. Its totient is φ = 60587648519200.

The previous prime is 100011102102007. The next prime is 100011102102071. The reversal of 100011102102021 is 120201201110001.

It is not a de Polignac number, because 100011102102021 - 2⁷ = 100011102101893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011102101988 and 100011102102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011102102071) 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, 56261406 + ... + 58011791.

It is an arithmetic number, because the mean of its divisors is an integer number (6109730804268).

Almost surely, 2^{100011102102021} is an apocalyptic number.

100011102102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011102102021 is a deficient number, since it is larger than the sum of its proper divisors (46622437200411).

100011102102021 is a wasteful number, since it uses less digits than its factorization.

100011102102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275633 (or 114275622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011102102021 its reverse (120201201110001), we get a palindrome (220212303212022).

The spelling of 100011102102021 in words is "one hundred trillion, eleven billion, one hundred two million, one hundred two thousand, twenty-one".