211002030042100 has 216 divisors, whose sum is σ = 510464854024664. Its totient is φ = 75634352640000.

The previous prime is 211002030042059. The next prime is 211002030042103. The reversal of 211002030042100 is 1240030200112.

It can be written as a sum of positive squares in 12 ways, for example, as 165549704358544 + 45452325683556 = 12866612^2 + 6741834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002030042103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590756982 + ... + 1590889618.

Almost surely, 2^{211002030042100} is an apocalyptic number.

211002030042100 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 211002030042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255232427012332).

211002030042100 is an abundant number, since it is smaller than the sum of its proper divisors (299462823982564).

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

211002030042100 is a wasteful number, since it uses less digits than its factorization.

211002030042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134547 (or 134529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211002030042100 its reverse (1240030200112), we get a palindrome (212242060242212).

The spelling of 211002030042100 in words is "two hundred eleven trillion, two billion, thirty million, forty-two thousand, one hundred".