102102011001120 has 96 divisors (see below), whose sum is σ = 346361437340352. Its totient is φ = 25132802706432.

The previous prime is 102102011001113. The next prime is 102102011001157. The reversal of 102102011001120 is 21100110201201.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 102102011001096 and 102102011001105.

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, 8181244642 + ... + 8181257121.

It is an arithmetic number, because the mean of its divisors is an integer number (3607931638962).

Almost surely, 2^{102102011001120} is an apocalyptic number.

102102011001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102011001120 is an abundant number, since it is smaller than the sum of its proper divisors (244259426339232).

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

102102011001120 is a wasteful number, since it uses less digits than its factorization.

102102011001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16362501794 (or 16362501786 counting only the distinct ones).

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

Adding to 102102011001120 its reverse (21100110201201), we get a palindrome (123202121202321).

The spelling of 102102011001120 in words is "one hundred two trillion, one hundred two billion, eleven million, one thousand, one hundred twenty".