100735552401 has 16 divisors (see below), whose sum is σ = 154236253440. Its totient is φ = 57838594320.

The previous prime is 100735552399. The next prime is 100735552429. The reversal of 100735552401 is 104255537001.

It is not a de Polignac number, because 100735552401 - 2¹ = 100735552399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100735552441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80330755 + ... + 80332008.

It is an arithmetic number, because the mean of its divisors is an integer number (9639765840).

Almost surely, 2^100735552401 is an apocalyptic number.

100735552401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100735552401 is a deficient number, since it is larger than the sum of its proper divisors (53500701039).

100735552401 is a wasteful number, since it uses less digits than its factorization.

100735552401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160662796.

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 100735552401 in words is "one hundred billion, seven hundred thirty-five million, five hundred fifty-two thousand, four hundred one".