1011012110220 has 384 divisors, whose sum is σ = 3399794399232. Its totient is φ = 219702067200.

The previous prime is 1011012110209. The next prime is 1011012110231. The reversal of 1011012110220 is 220112101101.

It is an interprime number because it is at equal distance from previous prime (1011012110209) and next prime (1011012110231).

It is a super-2 number, since 2×1011012110220² (a number of 25 digits) contains 22 as substring.

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 = 1011012110196 and 1011012110205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106856290 + ... + 106865750.

It is an arithmetic number, because the mean of its divisors is an integer number (8853631248).

Almost surely, 2^{1011012110220} is an apocalyptic number.

1011012110220 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 1011012110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699897199616).

1011012110220 is an abundant number, since it is smaller than the sum of its proper divisors (2388782289012).

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

1011012110220 is a wasteful number, since it uses less digits than its factorization.

1011012110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011012110220 its reverse (220112101101), we get a palindrome (1231124211321).

The spelling of 1011012110220 in words is "one trillion, eleven billion, twelve million, one hundred ten thousand, two hundred twenty".