1020123100212 has 96 divisors (see below), whose sum is σ = 2515759411200. Its totient is φ = 321267244032.

The previous prime is 1020123100201. The next prime is 1020123100259. The reversal of 1020123100212 is 2120013210201.

It is a super-2 number, since 2×1020123100212² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020123100191 and 1020123100200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068214 + ... + 3384402.

It is an arithmetic number, because the mean of its divisors is an integer number (26205827200).

Almost surely, 2^{1020123100212} is an apocalyptic number.

1020123100212 is a gapful number since it is divisible by the number (12) 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 1020123100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257879705600).

1020123100212 is an abundant number, since it is smaller than the sum of its proper divisors (1495636310988).

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

1020123100212 is a wasteful number, since it uses less digits than its factorization.

1020123100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316425 (or 316423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020123100212 its reverse (2120013210201), we get a palindrome (3140136310413).

The spelling of 1020123100212 in words is "one trillion, twenty billion, one hundred twenty-three million, one hundred thousand, two hundred twelve".