102001211021120 has 112 divisors (see below), whose sum is σ = 243545565790800. Its totient is φ = 40690454200320.

The previous prime is 102001211021117. The next prime is 102001211021207. The reversal of 102001211021120 is 21120112100201.

It can be written as a sum of positive squares in 8 ways, for example, as 3339741630016 + 98661469391104 = 1827496^2 + 9932848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102001211021095 and 102001211021104.

It is a congruent number.

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, 1074090440 + ... + 1074185400.

It is an arithmetic number, because the mean of its divisors is an integer number (2174513980275).

Almost surely, 2^{102001211021120} is an apocalyptic number.

102001211021120 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 102001211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121772782895400).

102001211021120 is an abundant number, since it is smaller than the sum of its proper divisors (141544354769680).

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

102001211021120 is an equidigital number, since it uses as much as digits as its factorization.

102001211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103996 (or 103986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102001211021120 its reverse (21120112100201), we get a palindrome (123121323121321).

The spelling of 102001211021120 in words is "one hundred two trillion, one billion, two hundred eleven million, twenty-one thousand, one hundred twenty".