1010221211120 has 80 divisors (see below), whose sum is σ = 2562881679360. Its totient is φ = 367268102400.

The previous prime is 1010221211107. The next prime is 1010221211123. The reversal of 1010221211120 is 211121220101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1010221211120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010221211095 and 1010221211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733361 + ... + 3994799.

It is an arithmetic number, because the mean of its divisors is an integer number (32036020992).

Almost surely, 2^{1010221211120} is an apocalyptic number.

1010221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010221211120 is an abundant number, since it is smaller than the sum of its proper divisors (1552660468240).

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

1010221211120 is a wasteful number, since it uses less digits than its factorization.

1010221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265854 (or 265848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1010221211120 its reverse (211121220101), we get a palindrome (1221342431221).

The spelling of 1010221211120 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".