210210101120100 has 144 divisors (see below), whose sum is σ = 614069368920000. Its totient is φ = 55516101342720.

The previous prime is 210210101120093. The next prime is 210210101120111. The reversal of 210210101120100 is 1021101012012.

It is a super-2 number, since 2×210210101120100² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 110411026 + ... + 112298774.

It is an arithmetic number, because the mean of its divisors is an integer number (4264370617500).

Almost surely, 2^{210210101120100} is an apocalyptic number.

210210101120100 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 210210101120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307034684460000).

210210101120100 is an abundant number, since it is smaller than the sum of its proper divisors (403859267799900).

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

210210101120100 is a wasteful number, since it uses less digits than its factorization.

210210101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891342 (or 1891335 counting only the distinct ones).

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

Adding to 210210101120100 its reverse (1021101012012), we get a palindrome (211231202132112).

The spelling of 210210101120100 in words is "two hundred ten trillion, two hundred ten billion, one hundred one million, one hundred twenty thousand, one hundred".