1020010211220 has 576 divisors, whose sum is σ = 4082598567936. Its totient is φ = 184135311360.

The previous prime is 1020010211179. The next prime is 1020010211251. The reversal of 1020010211220 is 221120100201.

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 = 1020010211196 and 1020010211205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13234837 + ... + 13311683.

It is an arithmetic number, because the mean of its divisors is an integer number (7087844736).

Almost surely, 2^{1020010211220} is an apocalyptic number.

1020010211220 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 1020010211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041299283968).

1020010211220 is an abundant number, since it is smaller than the sum of its proper divisors (3062588356716).

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

1020010211220 is a wasteful number, since it uses less digits than its factorization.

1020010211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76920 (or 76905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020010211220 its reverse (221120100201), we get a palindrome (1241130311421).

The spelling of 1020010211220 in words is "one trillion, twenty billion, ten million, two hundred eleven thousand, two hundred twenty".