210122010101120 has 64 divisors (see below), whose sum is σ = 540963155834640. Its totient is φ = 77583511418880.

The previous prime is 210122010101111. The next prime is 210122010101203. The reversal of 210122010101120 is 21101010221012.

210122010101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 210122010101095 and 210122010101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12627516326 + ... + 12627532965.

Almost surely, 2^{210122010101120} is an apocalyptic number.

210122010101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122010101120 is an abundant number, since it is smaller than the sum of its proper divisors (330841145733520).

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

210122010101120 is a wasteful number, since it uses less digits than its factorization.

210122010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25255049323 (or 25255049311 counting only the distinct ones).

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

Adding to 210122010101120 its reverse (21101010221012), we get a palindrome (231223020322132).

The spelling of 210122010101120 in words is "two hundred ten trillion, one hundred twenty-two billion, ten million, one hundred one thousand, one hundred twenty".