102010001120 has 96 divisors (see below), whose sum is σ = 253165953600. Its totient is φ = 38767759360.

The previous prime is 102010001089. The next prime is 102010001141. The reversal of 102010001120 is 21100010201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102010001098 and 102010001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455300 + ... + 641340.

It is an arithmetic number, because the mean of its divisors is an integer number (2637145350).

Almost surely, 2^102010001120 is an apocalyptic number.

102010001120 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 102010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126582976800).

102010001120 is an abundant number, since it is smaller than the sum of its proper divisors (151155952480).

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

102010001120 is a wasteful number, since it uses less digits than its factorization.

102010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186228 (or 186220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010001120 its reverse (21100010201), we get a palindrome (123110011321).

The spelling of 102010001120 in words is "one hundred two billion, ten million, one thousand, one hundred twenty".