210111002012100 has 216 divisors, whose sum is σ = 707193783555168. Its totient is φ = 48024001267200.

The previous prime is 210111002012083. The next prime is 210111002012137. The reversal of 210111002012100 is 1210200111012.

210111002012100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568896495 + ... + 569265705.

Almost surely, 2^{210111002012100} is an apocalyptic number.

210111002012100 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 210111002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353596891777584).

210111002012100 is an abundant number, since it is smaller than the sum of its proper divisors (497082781543068).

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

210111002012100 is a wasteful number, since it uses less digits than its factorization.

210111002012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407955 (or 407941 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210111002012100 its reverse (1210200111012), we get a palindrome (211321202123112).

The spelling of 210111002012100 in words is "two hundred ten trillion, one hundred eleven billion, two million, twelve thousand, one hundred".