10102120011102 has 64 divisors (see below), whose sum is σ = 23628328948224. Its totient is φ = 2819103315840.

The previous prime is 10102120011079. The next prime is 10102120011103. The reversal of 10102120011102 is 20111002120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102120011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69026268 + ... + 69172464.

It is an arithmetic number, because the mean of its divisors is an integer number (369192639816).

Almost surely, 2^{10102120011102} is an apocalyptic number.

10102120011102 is an abundant number, since it is smaller than the sum of its proper divisors (13526208937122).

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

10102120011102 is a wasteful number, since it uses less digits than its factorization.

10102120011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184513.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102120011102 its reverse (20111002120101), we get a palindrome (30213122131203).

The spelling of 10102120011102 in words is "ten trillion, one hundred two billion, one hundred twenty million, eleven thousand, one hundred two".