212211100101000 has 2048 divisors, whose sum is σ = 900325461934080. Its totient is φ = 40186368000000.

The previous prime is 212211100100983. The next prime is 212211100101017. The reversal of 212211100101000 is 101001112212.

It is an interprime number because it is at equal distance from previous prime (212211100100983) and next prime (212211100101017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 138609470235 + ... + 138609471765.

It is an arithmetic number, because the mean of its divisors is an integer number (439612041960).

Almost surely, 2^{212211100101000} is an apocalyptic number.

212211100101000 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 212211100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450162730967040).

212211100101000 is an abundant number, since it is smaller than the sum of its proper divisors (688114361833080).

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

212211100101000 is a wasteful number, since it uses less digits than its factorization.

212211100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212211100101000 its reverse (101001112212), we get a palindrome (212312101213212).

The spelling of 212211100101000 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred million, one hundred one thousand".