100401003345 has 32 divisors (see below), whose sum is σ = 168468480000. Its totient is φ = 50961645504.

The previous prime is 100401003337. The next prime is 100401003349. The reversal of 100401003345 is 543300104001.

It is not a de Polignac number, because 100401003345 - 2³ = 100401003337 is a prime.

It is a super-2 number, since 2×100401003345² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100401003349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662545 + ... + 799854.

It is an arithmetic number, because the mean of its divisors is an integer number (5264640000).

Almost surely, 2^100401003345 is an apocalyptic number.

100401003345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100401003345 is a deficient number, since it is larger than the sum of its proper divisors (68067476655).

100401003345 is a wasteful number, since it uses less digits than its factorization.

100401003345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462629.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100401003345 its reverse (543300104001), we get a palindrome (643701107346).

The spelling of 100401003345 in words is "one hundred billion, four hundred one million, three thousand, three hundred forty-five".