1020101102220 has 192 divisors, whose sum is σ = 2973076807680. Its totient is φ = 261107877888.

The previous prime is 1020101102219. The next prime is 1020101102261. The reversal of 1020101102220 is 222011010201.

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 = 1020101102196 and 1020101102205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416877037 + ... + 416879483.

It is an arithmetic number, because the mean of its divisors is an integer number (15484775040).

Almost surely, 2^{1020101102220} is an apocalyptic number.

1020101102220 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 1020101102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486538403840).

1020101102220 is an abundant number, since it is smaller than the sum of its proper divisors (1952975705460).

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

1020101102220 is a wasteful number, since it uses less digits than its factorization.

1020101102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4950 counting only the distinct ones).

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

Adding to 1020101102220 its reverse (222011010201), we get a palindrome (1242112112421).

The spelling of 1020101102220 in words is "one trillion, twenty billion, one hundred one million, one hundred two thousand, two hundred twenty".