21146114100 has 72 divisors (see below), whose sum is σ = 61199242720. Its totient is φ = 5637444480.

The previous prime is 21146114083. The next prime is 21146114107. The reversal of 21146114100 is 141164112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21146114107) 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, 1510734 + ... + 1524666.

Almost surely, 2^21146114100 is an apocalyptic number.

21146114100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21146114100 is an abundant number, since it is smaller than the sum of its proper divisors (40053128620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21146114100 is a wasteful number, since it uses less digits than its factorization.

21146114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19009 (or 19002 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 21146114100 its reverse (141164112), we get a palindrome (21287278212).

It can be divided in two parts, 2114611 and 4100, that added together give a triangular number (2118711 = T₂₀₅₈).

The spelling of 21146114100 in words is "twenty-one billion, one hundred forty-six million, one hundred fourteen thousand, one hundred".