10021101120 has 168 divisors, whose sum is σ = 34669375416. Its totient is φ = 2656714752.

The previous prime is 10021101067. The next prime is 10021101131. The reversal of 10021101120 is 2110112001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 841928256 + 9179172864 = 29016^2 + 95808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488184 + ... + 508296.

Almost surely, 2^10021101120 is an apocalyptic number.

10021101120 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 10021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334687708).

10021101120 is an abundant number, since it is smaller than the sum of its proper divisors (24648274296).

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

10021101120 is a wasteful number, since it uses less digits than its factorization.

10021101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20309 (or 20296 counting only the distinct ones).

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

Adding to 10021101120 its reverse (2110112001), we get a palindrome (12131213121).

The spelling of 10021101120 in words is "ten billion, twenty-one million, one hundred one thousand, one hundred twenty".