102010011120 has 640 divisors, whose sum is σ = 377118720000. Its totient is φ = 25299993600.

The previous prime is 102010011097. The next prime is 102010011121. The reversal of 102010011120 is 21110010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010011121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204428631 + ... + 204429129.

It is an arithmetic number, because the mean of its divisors is an integer number (589248000).

Almost surely, 2^102010011120 is an apocalyptic number.

102010011120 is a gapful number since it is divisible by the number (10) 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 102010011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360000).

102010011120 is an abundant number, since it is smaller than the sum of its proper divisors (275108708880).

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

102010011120 is a wasteful number, since it uses less digits than its factorization.

102010011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

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

Adding to 102010011120 its reverse (21110010201), we get a palindrome (123120021321).

The spelling of 102010011120 in words is "one hundred two billion, ten million, eleven thousand, one hundred twenty".