211000210021000 has 128 divisors (see below), whose sum is σ = 495262289340000. Its totient is φ = 84140052480000.

The previous prime is 211000210020959. The next prime is 211000210021033. The reversal of 211000210021000 is 120012000112.

211000210021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9468285935364 + 201531924085636 = 3077058^2 + 14196194^2 .

It is a super-2 number, since 2×211000210021000² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1675486036 + ... + 1675611964.

Almost surely, 2^{211000210021000} is an apocalyptic number.

211000210021000 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 211000210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247631144670000).

211000210021000 is an abundant number, since it is smaller than the sum of its proper divisors (284262079319000).

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

211000210021000 is a wasteful number, since it uses less digits than its factorization.

211000210021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131100 (or 131086 counting only the distinct ones).

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

Adding to 211000210021000 its reverse (120012000112), we get a palindrome (211120222021112).

The spelling of 211000210021000 in words is "two hundred eleven trillion, two hundred ten million, twenty-one thousand".