210011121210100 has 288 divisors, whose sum is σ = 569307078014976. Its totient is φ = 65576068300800.

The previous prime is 210011121210091. The next prime is 210011121210157. The reversal of 210011121210100 is 1012121110012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5427606354 + ... + 5427645046.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760687552).

Almost surely, 2^{210011121210100} is an apocalyptic number.

210011121210100 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 210011121210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284653539007488).

210011121210100 is an abundant number, since it is smaller than the sum of its proper divisors (359295956804876).

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

210011121210100 is a wasteful number, since it uses less digits than its factorization.

210011121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53475 (or 53468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210011121210100 its reverse (1012121110012), we get a palindrome (211023242320112).

The spelling of 210011121210100 in words is "two hundred ten trillion, eleven billion, one hundred twenty-one million, two hundred ten thousand, one hundred".