211120001000 has 64 divisors (see below), whose sum is σ = 520021944000. Its totient is φ = 80003361600.

The previous prime is 211120000969. The next prime is 211120001033. The reversal of 211120001000 is 100021112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5536790 + ... + 5574789.

It is an arithmetic number, because the mean of its divisors is an integer number (8125342875).

Almost surely, 2^211120001000 is an apocalyptic number.

211120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120001000 is an abundant number, since it is smaller than the sum of its proper divisors (308901943000).

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

211120001000 is a wasteful number, since it uses less digits than its factorization.

211120001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111619 (or 11111605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211120001000 its reverse (100021112), we get a palindrome (211220022112).

The spelling of 211120001000 in words is "two hundred eleven billion, one hundred twenty million, one thousand".