210020012001100 has 216 divisors, whose sum is σ = 545085146692800. Its totient is φ = 69991350912000.

The previous prime is 210020012001001. The next prime is 210020012001133. The reversal of 210020012001100 is 1100210020012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 52515126 + ... + 56372674.

It is an arithmetic number, because the mean of its divisors is an integer number (2523542345800).

Almost surely, 2^{210020012001100} is an apocalyptic number.

210020012001100 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 210020012001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272542573346400).

210020012001100 is an abundant number, since it is smaller than the sum of its proper divisors (335065134691700).

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

210020012001100 is a wasteful number, since it uses less digits than its factorization.

210020012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857889 (or 3857875 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210020012001100 its reverse (1100210020012), we get a palindrome (211120222021112).

The spelling of 210020012001100 in words is "two hundred ten trillion, twenty billion, twelve million, one thousand, one hundred".