10212100122000 has 1280 divisors, whose sum is σ = 39935226839040. Its totient is φ = 2196412416000.

The previous prime is 10212100121969. The next prime is 10212100122001. The reversal of 10212100122000 is 22100121201.

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

It is not an unprimeable number, because it can be changed into a prime (10212100122001) 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, 6500381215 + ... + 6500382785.

It is an arithmetic number, because the mean of its divisors is an integer number (31199395968).

Almost surely, 2^{10212100122000} is an apocalyptic number.

10212100122000 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 10212100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19967613419520).

10212100122000 is an abundant number, since it is smaller than the sum of its proper divisors (29723126717040).

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

10212100122000 is a wasteful number, since it uses less digits than its factorization.

10212100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212100122000 its reverse (22100121201), we get a palindrome (10234200243201).

The spelling of 10212100122000 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred twenty-two thousand".