101400033102444 has 240 divisors, whose sum is σ = 278301414859776. Its totient is φ = 32157587347200.

The previous prime is 101400033102419. The next prime is 101400033102461. The reversal of 101400033102444 is 444201330004101.

101400033102444 is a `hidden beast` number, since 1 + 0 + 1 + 400 + 0 + 3 + 3 + 10 + 244 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360294109 + ... + 360575435.

Almost surely, 2^{101400033102444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101400033102444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139150707429888).

101400033102444 is an abundant number, since it is smaller than the sum of its proper divisors (176901381757332).

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

101400033102444 is a wasteful number, since it uses less digits than its factorization.

101400033102444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282058 (or 282047 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101400033102444 its reverse (444201330004101), we get a palindrome (545601363106545).

The spelling of 101400033102444 in words is "one hundred one trillion, four hundred billion, thirty-three million, one hundred two thousand, four hundred forty-four".