20101016400 has 180 divisors, whose sum is σ = 65798086272. Its totient is φ = 5245530880.

The previous prime is 20101016333. The next prime is 20101016459. The reversal of 20101016400 is 461010102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20101016400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2647009 + ... + 2654591.

Almost surely, 2^20101016400 is an apocalyptic number.

20101016400 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 20101016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32899043136).

20101016400 is an abundant number, since it is smaller than the sum of its proper divisors (45697069872).

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

20101016400 is a wasteful number, since it uses less digits than its factorization.

20101016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20101016400 its reverse (461010102), we get a palindrome (20562026502).

The spelling of 20101016400 in words is "twenty billion, one hundred one million, sixteen thousand, four hundred".