100002101211110 has 96 divisors (see below), whose sum is σ = 221813517476160. Its totient is φ = 32254422724608.

The previous prime is 100002101211107. The next prime is 100002101211121. The reversal of 100002101211110 is 11112101200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002101211091 and 100002101211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14915159 + ... + 20553981.

It is an arithmetic number, because the mean of its divisors is an integer number (2310557473710).

Almost surely, 2^{100002101211110} is an apocalyptic number.

100002101211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100002101211110 is an abundant number, since it is smaller than the sum of its proper divisors (121811416265050).

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

100002101211110 is a wasteful number, since it uses less digits than its factorization.

100002101211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640990 (or 5640983 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100002101211110 its reverse (11112101200001), we get a palindrome (111114202411111).

The spelling of 100002101211110 in words is "one hundred trillion, two billion, one hundred one million, two hundred eleven thousand, one hundred ten".