10121322211000 has 1536 divisors, whose sum is σ = 34131621888000. Its totient is φ = 2725747200000.

The previous prime is 10121322210997. The next prime is 10121322211003. The reversal of 10121322211000 is 11222312101.

It is an interprime number because it is at equal distance from previous prime (10121322210997) and next prime (10121322211003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121322211003) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21130108761 + ... + 21130109239.

It is an arithmetic number, because the mean of its divisors is an integer number (22221108000).

Almost surely, 2^{10121322211000} is an apocalyptic number.

10121322211000 is a gapful number since it is divisible by the number (10) 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 10121322211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065810944000).

10121322211000 is an abundant number, since it is smaller than the sum of its proper divisors (24010299677000).

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

10121322211000 is a wasteful number, since it uses less digits than its factorization.

10121322211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121322211000 its reverse (11222312101), we get a palindrome (10132544523101).

The spelling of 10121322211000 in words is "ten trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred eleven thousand".