101102003400393 has 64 divisors (see below), whose sum is σ = 156183080152320. Its totient is φ = 64576773144576.

The previous prime is 101102003400389. The next prime is 101102003400397. The reversal of 101102003400393 is 393004300201101.

101102003400393 is a `hidden beast` number, since 1 + 0 + 110 + 200 + 340 + 0 + 3 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (101102003400389) and next prime (101102003400397).

It is not a de Polignac number, because 101102003400393 - 2² = 101102003400389 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101102003400397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179970121 + ... + 180531017.

It is an arithmetic number, because the mean of its divisors is an integer number (2440360627380).

Almost surely, 2^{101102003400393} is an apocalyptic number.

It is an amenable number.

101102003400393 is a deficient number, since it is larger than the sum of its proper divisors (55081076751927).

101102003400393 is a wasteful number, since it uses less digits than its factorization.

101102003400393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563703 (or 563697 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101102003400393 its reverse (393004300201101), we get a palindrome (494106303601494).

The spelling of 101102003400393 in words is "one hundred one trillion, one hundred two billion, three million, four hundred thousand, three hundred ninety-three".