21001011211000 has 64 divisors (see below), whose sum is σ = 49529314298880. Its totient is φ = 8334259516800.

The previous prime is 21001011210997. The next prime is 21001011211003. The reversal of 21001011211000 is 11211010012.

It is an interprime number because it is at equal distance from previous prime (21001011210997) and next prime (21001011211003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001011211003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82554147 + ... + 82808146.

It is an arithmetic number, because the mean of its divisors is an integer number (773895535920).

Almost surely, 2^{21001011211000} is an apocalyptic number.

21001011211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001011211000 is an abundant number, since it is smaller than the sum of its proper divisors (28528303087880).

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

21001011211000 is a wasteful number, since it uses less digits than its factorization.

21001011211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165362441 (or 165362427 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21001011211000 its reverse (11211010012), we get a palindrome (21012222221012).

The spelling of 21001011211000 in words is "twenty-one trillion, one billion, eleven million, two hundred eleven thousand".