100102000211120 has 80 divisors (see below), whose sum is σ = 233414199776160. Its totient is φ = 39924387993600.

The previous prime is 100102000211077. The next prime is 100102000211159. The reversal of 100102000211120 is 21112000201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91916180 + ... + 92998860.

It is an arithmetic number, because the mean of its divisors is an integer number (2917677497202).

Almost surely, 2^{100102000211120} is an apocalyptic number.

100102000211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102000211120 is an abundant number, since it is smaller than the sum of its proper divisors (133312199565040).

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

100102000211120 is a wasteful number, since it uses less digits than its factorization.

100102000211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086054 (or 1086048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102000211120 its reverse (21112000201001), we get a palindrome (121214000412121).

The spelling of 100102000211120 in words is "one hundred trillion, one hundred two billion, two hundred eleven thousand, one hundred twenty".