102120011010 has 128 divisors (see below), whose sum is σ = 283508121600. Its totient is φ = 26125182720.

The previous prime is 102120011003. The next prime is 102120011029. The reversal of 102120011010 is 10110021201.

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 = 102120010983 and 102120011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187775 + ... + 1270845.

It is an arithmetic number, because the mean of its divisors is an integer number (2214907200).

Almost surely, 2^102120011010 is an apocalyptic number.

102120011010 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 102120011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141754060800).

102120011010 is an abundant number, since it is smaller than the sum of its proper divisors (181388110590).

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

102120011010 is a wasteful number, since it uses less digits than its factorization.

102120011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83273 (or 83267 counting only the distinct ones).

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

Adding to 102120011010 its reverse (10110021201), we get a palindrome (112230032211).

The spelling of 102120011010 in words is "one hundred two billion, one hundred twenty million, eleven thousand, ten".