102100110011010 has 192 divisors, whose sum is σ = 284507191957248. Its totient is φ = 25337405947392.

The previous prime is 102100110010999. The next prime is 102100110011017. The reversal of 102100110011010 is 10110011001201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100110010983 and 102100110011001.

It is not an unprimeable number, because it can be changed into a prime (102100110011017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513614444 + ... + 1513681896.

It is an arithmetic number, because the mean of its divisors is an integer number (1481808291444).

Almost surely, 2^{102100110011010} is an apocalyptic number.

102100110011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100110011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142253595978624).

102100110011010 is an abundant number, since it is smaller than the sum of its proper divisors (182407081946238).

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

102100110011010 is a wasteful number, since it uses less digits than its factorization.

102100110011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87289 (or 87286 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102100110011010 its reverse (10110011001201), we get a palindrome (112210121012211).

The spelling of 102100110011010 in words is "one hundred two trillion, one hundred billion, one hundred ten million, eleven thousand, ten".