10102111011120 has 80 divisors (see below), whose sum is σ = 31383603463680. Its totient is φ = 2688127725312.

The previous prime is 10102111011101. The next prime is 10102111011121. The reversal of 10102111011120 is 2111011120101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102111011096 and 10102111011105.

It is not an unprimeable number, because it can be changed into a prime (10102111011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44954440 + ... + 45178599.

It is an arithmetic number, because the mean of its divisors is an integer number (392295043296).

Almost surely, 2^{10102111011120} is an apocalyptic number.

10102111011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102111011120 is an abundant number, since it is smaller than the sum of its proper divisors (21281492452560).

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

10102111011120 is a wasteful number, since it uses less digits than its factorization.

10102111011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90133522 (or 90133516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10102111011120 its reverse (2111011120101), we get a palindrome (12213122131221).

The spelling of 10102111011120 in words is "ten trillion, one hundred two billion, one hundred eleven million, eleven thousand, one hundred twenty".