102101222000120 has 256 divisors, whose sum is σ = 271757801952000. Its totient is φ = 33796085760000.

The previous prime is 102101222000069. The next prime is 102101222000131. The reversal of 102101222000120 is 21000222101201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102101222000095 and 102101222000104.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2259803930 + ... + 2259849110.

It is an arithmetic number, because the mean of its divisors is an integer number (1061553913875).

Almost surely, 2^{102101222000120} is an apocalyptic number.

102101222000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101222000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135878900976000).

102101222000120 is an abundant number, since it is smaller than the sum of its proper divisors (169656579951880).

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

102101222000120 is a wasteful number, since it uses less digits than its factorization.

102101222000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47290 (or 47286 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102101222000120 its reverse (21000222101201), we get a palindrome (123101444101321).

The spelling of 102101222000120 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.