10221010101120 has 384 divisors, whose sum is σ = 40813846043040. Its totient is φ = 2156520554496.

The previous prime is 10221010101077. The next prime is 10221010101149. The reversal of 10221010101120 is 2110101012201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10221010101120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221010101096 and 10221010101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955487 + ... + 5401566.

Almost surely, 2^{10221010101120} is an apocalyptic number.

10221010101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221010101120 is an abundant number, since it is smaller than the sum of its proper divisors (30592835941920).

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

10221010101120 is a wasteful number, since it uses less digits than its factorization.

10221010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357102 (or 8357083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221010101120 its reverse (2110101012201), we get a palindrome (12331111113321).

The spelling of 10221010101120 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred one thousand, one hundred twenty".