10122101221320 has 192 divisors, whose sum is σ = 36379059724800. Its totient is φ = 2420228367360.

The previous prime is 10122101221301. The next prime is 10122101221343. The reversal of 10122101221320 is 2312210122101.

10122101221320 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 101 + 221 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10122101221293 and 10122101221302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17218360 + ... + 17796519.

It is an arithmetic number, because the mean of its divisors is an integer number (189474269400).

Almost surely, 2^{10122101221320} is an apocalyptic number.

10122101221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122101221320 is an abundant number, since it is smaller than the sum of its proper divisors (26256958503480).

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

10122101221320 is a wasteful number, since it uses less digits than its factorization.

10122101221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35014980 (or 35014973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10122101221320 its reverse (2312210122101), we get a palindrome (12434311343421).

The spelling of 10122101221320 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, three hundred twenty".