211201011010000 has 400 divisors, whose sum is σ = 560831932584000. Its totient is φ = 76387392000000.

The previous prime is 211201011009983. The next prime is 211201011010001. The reversal of 211201011010000 is 10110102112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×211201011010000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201011010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15701503275 + ... + 15701516725.

It is an arithmetic number, because the mean of its divisors is an integer number (1402079831460).

Almost surely, 2^{211201011010000} is an apocalyptic number.

211201011010000 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 211201011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280415966292000).

211201011010000 is an abundant number, since it is smaller than the sum of its proper divisors (349630921574000).

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

211201011010000 is a wasteful number, since it uses less digits than its factorization.

211201011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14227 counting only the distinct ones).

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

Adding to 211201011010000 its reverse (10110102112), we get a palindrome (211211121112112).

The spelling of 211201011010000 in words is "two hundred eleven trillion, two hundred one billion, eleven million, ten thousand".