102221122011120 has 240 divisors, whose sum is σ = 392751353322432. Its totient is φ = 23339997020160.

The previous prime is 102221122011083. The next prime is 102221122011131. The reversal of 102221122011120 is 21110221122201.

102221122011120 is a `hidden beast` number, since 10 + 222 + 112 + 201 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102221122011093 and 102221122011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6034177 + ... + 15519456.

Almost surely, 2^{102221122011120} is an apocalyptic number.

102221122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221122011120 is an abundant number, since it is smaller than the sum of its proper divisors (290530231311312).

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

102221122011120 is a wasteful number, since it uses less digits than its factorization.

102221122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21554600 (or 21554591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221122011120 its reverse (21110221122201), we get a palindrome (123331343133321).

The spelling of 102221122011120 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven thousand, one hundred twenty".