10101214400 has 168 divisors, whose sum is σ = 25381366560. Its totient is φ = 3955875840.

The previous prime is 10101214391. The next prime is 10101214423. The reversal of 10101214400 is 441210101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23009381 + ... + 23009819.

Almost surely, 2^10101214400 is an apocalyptic number.

10101214400 is a gapful number since it is divisible by the number (10) 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 10101214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690683280).

10101214400 is an abundant number, since it is smaller than the sum of its proper divisors (15280152160).

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

10101214400 is a wasteful number, since it uses less digits than its factorization.

10101214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10101214400 its reverse (441210101), we get a palindrome (10542424501).

The spelling of 10101214400 in words is "ten billion, one hundred one million, two hundred fourteen thousand, four hundred".