10120022011020 has 96 divisors (see below), whose sum is σ = 28584576953856. Its totient is φ = 2675050892800.

The previous prime is 10120022010991. The next prime is 10120022011049. The reversal of 10120022011020 is 2011022002101.

It is an interprime number because it is at equal distance from previous prime (10120022010991) and next prime (10120022011049).

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 = 10120022010987 and 10120022011005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6246040 + ... + 7697600.

It is an arithmetic number, because the mean of its divisors is an integer number (297756009936).

Almost surely, 2^{10120022011020} is an apocalyptic number.

10120022011020 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 10120022011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292288476928).

10120022011020 is an abundant number, since it is smaller than the sum of its proper divisors (18464554942836).

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

10120022011020 is a wasteful number, since it uses less digits than its factorization.

10120022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452591 (or 1452589 counting only the distinct ones).

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

Adding to 10120022011020 its reverse (2011022002101), we get a palindrome (12131044013121).

The spelling of 10120022011020 in words is "ten trillion, one hundred twenty billion, twenty-two million, eleven thousand, twenty".