102010021120 has 144 divisors (see below), whose sum is σ = 293950419840. Its totient is φ = 33134026752.

The previous prime is 102010021103. The next prime is 102010021121. The reversal of 102010021120 is 21120010201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102010021097 and 102010021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129367 + ... + 469846.

It is an arithmetic number, because the mean of its divisors is an integer number (2041322360).

Almost surely, 2^102010021120 is an apocalyptic number.

102010021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010021120 is an abundant number, since it is smaller than the sum of its proper divisors (191940398720).

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

102010021120 is an equidigital number, since it uses as much as digits as its factorization.

102010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599260 (or 599246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102010021120 its reverse (21120010201), we get a palindrome (123130031321).

The spelling of 102010021120 in words is "one hundred two billion, ten million, twenty-one thousand, one hundred twenty".