100107016202097 has 12 divisors (see below), whose sum is σ = 145464885820800. Its totient is φ = 66338381993208.

The previous prime is 100107016202029. The next prime is 100107016202101. The reversal of 100107016202097 is 790202610701001.

It is a happy number.

100107016202097 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 7 + 0 + 1 + 620 + 20 + 9 + 7 = 666.

It is not a de Polignac number, because 100107016202097 - 2¹⁴ = 100107016185713 is a prime.

It is a super-2 number, since 2×100107016202097² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100107016202597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33302399097 + ... + 33302402102.

It is an arithmetic number, because the mean of its divisors is an integer number (12122073818400).

Almost surely, 2^{100107016202097} is an apocalyptic number.

It is an amenable number.

100107016202097 is a deficient number, since it is larger than the sum of its proper divisors (45357869618703).

100107016202097 is a wasteful number, since it uses less digits than its factorization.

100107016202097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66604801372 (or 66604801369 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 100107016202097 its reverse (790202610701001), we get a palindrome (890309626903098).

The spelling of 100107016202097 in words is "one hundred trillion, one hundred seven billion, sixteen million, two hundred two thousand, ninety-seven".