10001102120 has 64 divisors (see below), whose sum is σ = 23486455440. Its totient is φ = 3829196800.

The previous prime is 10001102119. The next prime is 10001102131. The reversal of 10001102120 is 2120110001.

It can be written as a sum of positive squares in 8 ways, for example, as 1143657124 + 8857444996 = 33818^2 + 94114^2 .

It is a super-2 number, since 2×10001102120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001102098 and 10001102107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29390 + ... + 144450.

Almost surely, 2^10001102120 is an apocalyptic number.

10001102120 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 10001102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743227720).

10001102120 is an abundant number, since it is smaller than the sum of its proper divisors (13485353320).

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

10001102120 is a wasteful number, since it uses less digits than its factorization.

10001102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115166 (or 115162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001102120 its reverse (2120110001), we get a palindrome (12121212121).

The spelling of 10001102120 in words is "ten billion, one million, one hundred two thousand, one hundred twenty".