102100000011012 has 144 divisors (see below), whose sum is σ = 266659489474560. Its totient is φ = 32904835891200.

The previous prime is 102100000010989. The next prime is 102100000011059. The reversal of 102100000011012 is 210110000001201.

It is a happy number.

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 = 102100000010985 and 102100000011003.

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, 7669188868 + ... + 7669202180.

It is an arithmetic number, because the mean of its divisors is an integer number (1851802010240).

Almost surely, 2^{102100000011012} is an apocalyptic number.

102100000011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100000011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133329744737280).

102100000011012 is an abundant number, since it is smaller than the sum of its proper divisors (164559489463548).

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

102100000011012 is a wasteful number, since it uses less digits than its factorization.

102100000011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19234 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100000011012 its reverse (210110000001201), we get a palindrome (312210000012213).

The spelling of 102100000011012 in words is "one hundred two trillion, one hundred billion, eleven thousand, twelve".