100102109301 has 24 divisors (see below), whose sum is σ = 148156695960. Its totient is φ = 65090304000.

The previous prime is 100102109291. The next prime is 100102109357. The reversal of 100102109301 is 103901201001.

It can be written as a sum of positive squares in 4 ways, for example, as 17273844900 + 82828264401 = 131430^2 + 287799^2 .

It is not a de Polignac number, because 100102109301 - 2¹³ = 100102101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102109801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490751 + ... + 1556451.

It is an arithmetic number, because the mean of its divisors is an integer number (6173195665).

Almost surely, 2^100102109301 is an apocalyptic number.

It is an amenable number.

100102109301 is a deficient number, since it is larger than the sum of its proper divisors (48054586659).

100102109301 is a wasteful number, since it uses less digits than its factorization.

100102109301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69877 (or 69874 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 100102109301 in words is "one hundred billion, one hundred two million, one hundred nine thousand, three hundred one".