101042411400 has 288 divisors, whose sum is σ = 391373611200. Its totient is φ = 22883212800.

The previous prime is 101042411387. The next prime is 101042411413. The reversal of 101042411400 is 4114240101.

101042411400 is a `hidden beast` number, since 10 + 10 + 4 + 241 + 1 + 400 = 666.

101042411400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101042411387) and next prime (101042411413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1336615 + ... + 1410185.

It is an arithmetic number, because the mean of its divisors is an integer number (1358936150).

Almost surely, 2^101042411400 is an apocalyptic number.

101042411400 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 101042411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686805600).

101042411400 is an abundant number, since it is smaller than the sum of its proper divisors (290331199800).

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

101042411400 is a wasteful number, since it uses less digits than its factorization.

101042411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73709 (or 73697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101042411400 its reverse (4114240101), we get a palindrome (105156651501).

The spelling of 101042411400 in words is "one hundred one billion, forty-two million, four hundred eleven thousand, four hundred".