10214122101320 has 128 divisors (see below), whose sum is σ = 24231697966080. Its totient is φ = 3869918208000.

The previous prime is 10214122101319. The next prime is 10214122101361. The reversal of 10214122101320 is 2310122141201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10214122101292 and 10214122101301.

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, 11427440 + ... + 12288800.

It is an arithmetic number, because the mean of its divisors is an integer number (189310140360).

Almost surely, 2^{10214122101320} is an apocalyptic number.

10214122101320 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 10214122101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115848983040).

10214122101320 is an abundant number, since it is smaller than the sum of its proper divisors (14017575864760).

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

10214122101320 is a wasteful number, since it uses less digits than its factorization.

10214122101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861607 (or 861603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10214122101320 its reverse (2310122141201), we get a palindrome (12524244242521).

The spelling of 10214122101320 in words is "ten trillion, two hundred fourteen billion, one hundred twenty-two million, one hundred one thousand, three hundred twenty".