101030452400 has 240 divisors, whose sum is σ = 252484283424. Its totient is φ = 38831063040.

The previous prime is 101030452373. The next prime is 101030452417. The reversal of 101030452400 is 4254030101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221072972 + ... + 221073428.

Almost surely, 2^101030452400 is an apocalyptic number.

101030452400 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 101030452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126242141712).

101030452400 is an abundant number, since it is smaller than the sum of its proper divisors (151453831024).

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

101030452400 is a wasteful number, since it uses less digits than its factorization.

101030452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 101030452400 its reverse (4254030101), we get a palindrome (105284482501).

The spelling of 101030452400 in words is "one hundred one billion, thirty million, four hundred fifty-two thousand, four hundred".