102210001120 has 48 divisors (see below), whose sum is σ = 241560642960. Its totient is φ = 40868844544.

The previous prime is 102210001099. The next prime is 102210001177. The reversal of 102210001120 is 21100012201.

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 = 102210001097 and 102210001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319599 + ... + 553681.

It is an arithmetic number, because the mean of its divisors is an integer number (5032513395).

Almost surely, 2^102210001120 is an apocalyptic number.

102210001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210001120 is an abundant number, since it is smaller than the sum of its proper divisors (139350641840).

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

102210001120 is a wasteful number, since it uses less digits than its factorization.

102210001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236827 (or 236819 counting only the distinct ones).

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

Adding to 102210001120 its reverse (21100012201), we get a palindrome (123310013321).

The spelling of 102210001120 in words is "one hundred two billion, two hundred ten million, one thousand, one hundred twenty".