1020212202120 has 128 divisors (see below), whose sum is σ = 3158256839040. Its totient is φ = 263448944640.

The previous prime is 1020212202089. The next prime is 1020212202127. The reversal of 1020212202120 is 212022120201.

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 1020212202120.

It is not an unprimeable number, because it can be changed into a prime (1020212202127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392344 + ... + 1481336.

It is an arithmetic number, because the mean of its divisors is an integer number (24673881555).

Almost surely, 2^{1020212202120} is an apocalyptic number.

1020212202120 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 1020212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579128419520).

1020212202120 is an abundant number, since it is smaller than the sum of its proper divisors (2138044636920).

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

1020212202120 is a wasteful number, since it uses less digits than its factorization.

1020212202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089255 (or 1089251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020212202120 its reverse (212022120201), we get a palindrome (1232234322321).

The spelling of 1020212202120 in words is "one trillion, twenty billion, two hundred twelve million, two hundred two thousand, one hundred twenty".