1011212021120 has 128 divisors (see below), whose sum is σ = 2767380033600. Its totient is φ = 346123468800.

The previous prime is 1011212021117. The next prime is 1011212021123. The reversal of 1011212021120 is 211202121101.

It is an interprime number because it is at equal distance from previous prime (1011212021117) and next prime (1011212021123).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1011212021095 and 1011212021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212021123) 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, 2504696 + ... + 2880264.

Almost surely, 2^{1011212021120} is an apocalyptic number.

1011212021120 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 1011212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383690016800).

1011212021120 is an abundant number, since it is smaller than the sum of its proper divisors (1756168012480).

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

1011212021120 is an equidigital number, since it uses as much as digits as its factorization.

1011212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376196 (or 376184 counting only the distinct ones).

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

Adding to 1011212021120 its reverse (211202121101), we get a palindrome (1222414142221).

The spelling of 1011212021120 in words is "one trillion, eleven billion, two hundred twelve million, twenty-one thousand, one hundred twenty".