10212122122000 has 160 divisors (see below), whose sum is σ = 26149688214624. Its totient is φ = 3843938304000.

The previous prime is 10212122121991. The next prime is 10212122122021. The reversal of 10212122122000 is 22122121201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 910329708544 + 9301792413456 = 954112^2 + 3049884^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245221180 + ... + 245262820.

Almost surely, 2^{10212122122000} is an apocalyptic number.

10212122122000 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 10212122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074844107312).

10212122122000 is an abundant number, since it is smaller than the sum of its proper divisors (15937566092624).

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

10212122122000 is a wasteful number, since it uses less digits than its factorization.

10212122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48894 (or 48878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212122122000 its reverse (22122121201), we get a palindrome (10234244243201).

The spelling of 10212122122000 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand".