10122101220000 has 960 divisors, whose sum is σ = 41571682403328. Its totient is φ = 2094336000000.

The previous prime is 10122101219977. The next prime is 10122101220029. The reversal of 10122101220000 is 2210122101.

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 159 ways as a sum of consecutive naturals, for example, 1113415455 + ... + 1113424545.

Almost surely, 2^{10122101220000} is an apocalyptic number.

10122101220000 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 10122101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785841201664).

10122101220000 is an abundant number, since it is smaller than the sum of its proper divisors (31449581183328).

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

10122101220000 is a wasteful number, since it uses less digits than its factorization.

10122101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9360 counting only the distinct ones).

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

Adding to 10122101220000 its reverse (2210122101), we get a palindrome (10124311342101).

It can be divided in two parts, 10122 and 101220000, that multiplied together give a square (1024548840000 = 1012200²).

The spelling of 10122101220000 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty thousand".