211012111100010 has 512 divisors, whose sum is σ = 610175344619520. Its totient is φ = 46112252313600.

The previous prime is 211012111100003. The next prime is 211012111100017. The reversal of 211012111100010 is 10001111210112.

It is an interprime number because it is at equal distance from previous prime (211012111100003) and next prime (211012111100017).

It is a super-2 number, since 2×211012111100010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012111100017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23211095565 + ... + 23211104655.

It is an arithmetic number, because the mean of its divisors is an integer number (1191748719960).

Almost surely, 2^{211012111100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012111100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305087672309760).

211012111100010 is an abundant number, since it is smaller than the sum of its proper divisors (399163233519510).

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

211012111100010 is a wasteful number, since it uses less digits than its factorization.

211012111100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10902.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211012111100010 its reverse (10001111210112), we get a palindrome (221013222310122).

The spelling of 211012111100010 in words is "two hundred eleven trillion, twelve billion, one hundred eleven million, one hundred thousand, ten".