211013101000 has 128 divisors (see below), whose sum is σ = 544723976160. Its totient is φ = 76012032000.

The previous prime is 211013100979. The next prime is 211013101003. The reversal of 211013101000 is 101310112.

It can be written as a sum of positive squares in 16 ways, for example, as 21250059076 + 189763041924 = 145774^2 + 435618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (211013101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335052 + ... + 730948.

Almost surely, 2^211013101000 is an apocalyptic number.

211013101000 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 211013101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272361988080).

211013101000 is an abundant number, since it is smaller than the sum of its proper divisors (333710875160).

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

211013101000 is a wasteful number, since it uses less digits than its factorization.

211013101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395972 (or 395958 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 211013101000 its reverse (101310112), we get a palindrome (211114411112).

The spelling of 211013101000 in words is "two hundred eleven billion, thirteen million, one hundred one thousand".