1021211220120 has 512 divisors, whose sum is σ = 3853456588800. Its totient is φ = 210782435328.

The previous prime is 1021211220119. The next prime is 1021211220121. The reversal of 1021211220120 is 210221121201.

It is an interprime number because it is at equal distance from previous prime (1021211220119) and next prime (1021211220121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021211220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021211220121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93349611 + ... + 93360549.

It is an arithmetic number, because the mean of its divisors is an integer number (7526282400).

Almost surely, 2^{1021211220120} is an apocalyptic number.

1021211220120 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 1021211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926728294400).

1021211220120 is an abundant number, since it is smaller than the sum of its proper divisors (2832245368680).

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

1021211220120 is a wasteful number, since it uses less digits than its factorization.

1021211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1021211220120 its reverse (210221121201), we get a palindrome (1231432341321).

The spelling of 1021211220120 in words is "one trillion, twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".