210120201102112 has 192 divisors, whose sum is σ = 507465396990720. Its totient is φ = 83595585355776.

The previous prime is 210120201102101. The next prime is 210120201102121. The reversal of 210120201102112 is 211201102021012.

It is a super-2 number, since 2×210120201102112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92181468 + ... + 94433380.

It is an arithmetic number, because the mean of its divisors is an integer number (2643048942660).

Almost surely, 2^{210120201102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120201102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253732698495360).

210120201102112 is an abundant number, since it is smaller than the sum of its proper divisors (297345195888608).

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

210120201102112 is a wasteful number, since it uses less digits than its factorization.

210120201102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252283 (or 2252275 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210120201102112 its reverse (211201102021012), we get a palindrome (421321303123124).

The spelling of 210120201102112 in words is "two hundred ten trillion, one hundred twenty billion, two hundred one million, one hundred two thousand, one hundred twelve".