20213514100 has 72 divisors (see below), whose sum is σ = 47345407200. Its totient is φ = 7446391680.

The previous prime is 20213514091. The next prime is 20213514109. The reversal of 20213514100 is 141531202.

It is an interprime number because it is at equal distance from previous prime (20213514091) and next prime (20213514109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213514109) 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, 558351 + ... + 593449.

It is an arithmetic number, because the mean of its divisors is an integer number (657575100).

Almost surely, 2^20213514100 is an apocalyptic number.

20213514100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672703600).

20213514100 is an abundant number, since it is smaller than the sum of its proper divisors (27131893100).

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

20213514100 is a wasteful number, since it uses less digits than its factorization.

20213514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35569 (or 35562 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 20213514100 in words is "twenty billion, two hundred thirteen million, five hundred fourteen thousand, one hundred".