102011300000 has 72 divisors (see below), whose sum is σ = 251027612892. Its totient is φ = 40804480000.

The previous prime is 102011299987. The next prime is 102011300009. The reversal of 102011300000 is 3110201.

It can be written as a sum of positive squares in 6 ways, for example, as 3784218256 + 98227081744 = 61516^2 + 313412^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102011300009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410057 + ... + 610056.

Almost surely, 2^102011300000 is an apocalyptic number.

102011300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011300000 is an abundant number, since it is smaller than the sum of its proper divisors (149016312892).

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

102011300000 is an frugal number, since it uses more digits than its factorization.

102011300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020148 (or 1020120 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 102011300000 its reverse (3110201), we get a palindrome (102014410201).

The spelling of 102011300000 in words is "one hundred two billion, eleven million, three hundred thousand".