100102101121110 has 96 divisors (see below), whose sum is σ = 265024324899936. Its totient is φ = 24179568652800.

The previous prime is 100102101121103. The next prime is 100102101121111. The reversal of 100102101121110 is 11121101201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102101121111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48771271 + ... + 50782290.

It is an arithmetic number, because the mean of its divisors is an integer number (2760670051041).

Almost surely, 2^{100102101121110} is an apocalyptic number.

100102101121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102101121110 is an abundant number, since it is smaller than the sum of its proper divisors (164922223778826).

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

100102101121110 is a wasteful number, since it uses less digits than its factorization.

100102101121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99553870 (or 99553859 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100102101121110 its reverse (11121101201001), we get a palindrome (111223202322111).

The spelling of 100102101121110 in words is "one hundred trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".