102111011001220 has 48 divisors (see below), whose sum is σ = 234713683331568. Its totient is φ = 37084452917760.

The previous prime is 102111011001179. The next prime is 102111011001277. The reversal of 102111011001220 is 22100110111201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55146634462084 + 46964376539136 = 7426078^2 + 6853056^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102111011001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219120679 + ... + 3219152398.

It is an arithmetic number, because the mean of its divisors is an integer number (4889868402741).

Almost surely, 2^{102111011001220} is an apocalyptic number.

102111011001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111011001220 is an abundant number, since it is smaller than the sum of its proper divisors (132602672330348).

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

102111011001220 is a wasteful number, since it uses less digits than its factorization.

102111011001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438273160 (or 6438273158 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111011001220 its reverse (22100110111201), we get a palindrome (124211121112421).

The spelling of 102111011001220 in words is "one hundred two trillion, one hundred eleven billion, eleven million, one thousand, two hundred twenty".