210001111121120 has 384 divisors, whose sum is σ = 558774488143872. Its totient is φ = 73936869580800.

The previous prime is 210001111121111. The next prime is 210001111121213. The reversal of 210001111121120 is 21121111100012.

It is a junction number, because it is equal to n+sod(n) for n = 210001111121095 and 210001111121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1846642502 + ... + 1846756218.

It is an arithmetic number, because the mean of its divisors is an integer number (1455141896208).

Almost surely, 2^{210001111121120} is an apocalyptic number.

210001111121120 is a gapful number since it is divisible by the number (20) 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 210001111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279387244071936).

210001111121120 is an abundant number, since it is smaller than the sum of its proper divisors (348773377022752).

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

210001111121120 is a wasteful number, since it uses less digits than its factorization.

210001111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114074 (or 114066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210001111121120 its reverse (21121111100012), we get a palindrome (231122222221132).

The spelling of 210001111121120 in words is "two hundred ten trillion, one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".