102100101012 has 144 divisors (see below), whose sum is σ = 318133495680. Its totient is φ = 26886069504.

The previous prime is 102100101007. The next prime is 102100101023. The reversal of 102100101012 is 210101001201.

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 = 102100100985 and 102100101003.

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, 2135238 + ... + 2182530.

Almost surely, 2^102100101012 is an apocalyptic number.

102100101012 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 102100101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159066747840).

102100101012 is an abundant number, since it is smaller than the sum of its proper divisors (216033394668).

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

102100101012 is a wasteful number, since it uses less digits than its factorization.

102100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47982 (or 47977 counting only the distinct ones).

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

Adding to 102100101012 its reverse (210101001201), we get a palindrome (312201102213).

The spelling of 102100101012 in words is "one hundred two billion, one hundred million, one hundred one thousand, twelve".