10121122102220 has 96 divisors (see below), whose sum is σ = 22598584497216. Its totient is φ = 3794411520000.

The previous prime is 10121122102079. The next prime is 10121122102277. The reversal of 10121122102220 is 2220122112101.

It is a super-2 number, since 2×10121122102220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 154015370 + ... + 154081070.

It is an arithmetic number, because the mean of its divisors is an integer number (235401921846).

Almost surely, 2^{10121122102220} is an apocalyptic number.

10121122102220 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 10121122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299292248608).

10121122102220 is an abundant number, since it is smaller than the sum of its proper divisors (12477462394996).

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

10121122102220 is a wasteful number, since it uses less digits than its factorization.

10121122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67611 (or 67609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10121122102220 its reverse (2220122112101), we get a palindrome (12341244214321).

The spelling of 10121122102220 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".