101433340100 has 36 divisors (see below), whose sum is σ = 220149125700. Its totient is φ = 40566188160.

The previous prime is 101433340081. The next prime is 101433340117. The reversal of 101433340100 is 1043334101.

It can be written as a sum of positive squares in 6 ways, for example, as 43456405444 + 57976934656 = 208462^2 + 240784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500486 + ... + 673314.

Almost surely, 2^101433340100 is an apocalyptic number.

101433340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101433340100 is an abundant number, since it is smaller than the sum of its proper divisors (118715785600).

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

101433340100 is a wasteful number, since it uses less digits than its factorization.

101433340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178712 (or 178705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101433340100 its reverse (1043334101), we get a palindrome (102476674201).

The spelling of 101433340100 in words is "one hundred one billion, four hundred thirty-three million, three hundred forty thousand, one hundred".