10021000101120 has 432 divisors, whose sum is σ = 34857231973200. Its totient is φ = 2657994670080.

The previous prime is 10021000101113. The next prime is 10021000101139. The reversal of 10021000101120 is 2110100012001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3419718165504 + 6601281935616 = 1849248^2 + 2569296^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197103640 + ... + 2197108200.

It is an arithmetic number, because the mean of its divisors is an integer number (80688036975).

Almost surely, 2^{10021000101120} is an apocalyptic number.

10021000101120 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 10021000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428615986600).

10021000101120 is an abundant number, since it is smaller than the sum of its proper divisors (24836231872080).

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

10021000101120 is a wasteful number, since it uses less digits than its factorization.

10021000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021000101120 its reverse (2110100012001), we get a palindrome (12131100113121).

The spelling of 10021000101120 in words is "ten trillion, twenty-one billion, one hundred one thousand, one hundred twenty".