211142103000 has 128 divisors (see below), whose sum is σ = 659228544000. Its totient is φ = 56264803200.

The previous prime is 211142102999. The next prime is 211142103043. The reversal of 211142103000 is 301241112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4352881 + ... + 4401119.

It is an arithmetic number, because the mean of its divisors is an integer number (5150223000).

Almost surely, 2^211142103000 is an apocalyptic number.

211142103000 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 211142103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329614272000).

211142103000 is an abundant number, since it is smaller than the sum of its proper divisors (448086441000).

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

211142103000 is a wasteful number, since it uses less digits than its factorization.

211142103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49722 (or 49708 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211142103000 its reverse (301241112), we get a palindrome (211443344112).

The spelling of 211142103000 in words is "two hundred eleven billion, one hundred forty-two million, one hundred three thousand".