100211010102210 has 512 divisors, whose sum is σ = 320182087680000. Its totient is φ = 19515786264576.

The previous prime is 100211010102167. The next prime is 100211010102211. The reversal of 100211010102210 is 12201010112001.

It is not an unprimeable number, because it can be changed into a prime (100211010102211) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 190543191 + ... + 191068389.

It is an arithmetic number, because the mean of its divisors is an integer number (625355640000).

Almost surely, 2^{100211010102210} is an apocalyptic number.

100211010102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211010102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160091043840000).

100211010102210 is an abundant number, since it is smaller than the sum of its proper divisors (219971077577790).

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

100211010102210 is a wasteful number, since it uses less digits than its factorization.

100211010102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525378.

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

Adding to 100211010102210 its reverse (12201010112001), we get a palindrome (112412020214211).

The spelling of 100211010102210 in words is "one hundred trillion, two hundred eleven billion, ten million, one hundred two thousand, two hundred ten".