211102010021000 has 256 divisors, whose sum is σ = 566436481228800. Its totient is φ = 72135892224000.

The previous prime is 211102010020931. The next prime is 211102010021041. The reversal of 211102010021000 is 120010201112.

211102010021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3597053657 + ... + 3597112343.

It is an arithmetic number, because the mean of its divisors is an integer number (2212642504800).

Almost surely, 2^{211102010021000} is an apocalyptic number.

211102010021000 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 211102010021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283218240614400).

211102010021000 is an abundant number, since it is smaller than the sum of its proper divisors (355334471207800).

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

211102010021000 is a wasteful number, since it uses less digits than its factorization.

211102010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60425 (or 60411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211102010021000 its reverse (120010201112), we get a palindrome (211222020222112).

The spelling of 211102010021000 in words is "two hundred eleven trillion, one hundred two billion, ten million, twenty-one thousand".