211121112100010 has 96 divisors (see below), whose sum is σ = 444052719274320. Its totient is φ = 72059033991168.

The previous prime is 211121112100007. The next prime is 211121112100013. The reversal of 211121112100010 is 10001211121112.

It is an interprime number because it is at equal distance from previous prime (211121112100007) and next prime (211121112100013).

It can be written as a sum of positive squares in 8 ways, for example, as 43878979022641 + 167242133077369 = 6624121^2 + 12932213^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211121112100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106850936 + ... + 108808844.

Almost surely, 2^{211121112100010} is an apocalyptic number.

211121112100010 is an abundant number, since it is smaller than the sum of its proper divisors (232931607174310).

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

211121112100010 is a wasteful number, since it uses less digits than its factorization.

211121112100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958920 (or 1958913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211121112100010 its reverse (10001211121112), we get a palindrome (221122323221122).

The spelling of 211121112100010 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand, ten".