102011120100096 has 72 divisors (see below), whose sum is σ = 271516793721264. Its totient is φ = 34001396183040.

The previous prime is 102011120100091. The next prime is 102011120100181. The reversal of 102011120100096 is 690001021110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102011120100091) 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 7 ways as a sum of consecutive naturals, for example, 6815730 + ... + 15826446.

It is an arithmetic number, because the mean of its divisors is an integer number (3771066579462).

Almost surely, 2^{102011120100096} is an apocalyptic number.

102011120100096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102011120100096 is an abundant number, since it is smaller than the sum of its proper divisors (169505673621168).

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

102011120100096 is an equidigital number, since it uses as much as digits as its factorization.

102011120100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025477 (or 9025463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 102011120100096 its reverse (690001021110201), we get a palindrome (792012141210297).

The spelling of 102011120100096 in words is "one hundred two trillion, eleven billion, one hundred twenty million, one hundred thousand, ninety-six".