10210011120 has 200 divisors, whose sum is σ = 35544175920. Its totient is φ = 2716277760.

The previous prime is 10210011103. The next prime is 10210011157. The reversal of 10210011120 is 2111001201.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 3180076 + ... + 3183284.

Almost surely, 2^10210011120 is an apocalyptic number.

10210011120 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 10210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772087960).

10210011120 is an abundant number, since it is smaller than the sum of its proper divisors (25334164800).

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

10210011120 is a wasteful number, since it uses less digits than its factorization.

10210011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3710 counting only the distinct ones).

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

Adding to 10210011120 its reverse (2111001201), we get a palindrome (12321012321).

It can be divided in two parts, 1021001 and 1120, that added together give a square (1022121 = 1011²).

The spelling of 10210011120 in words is "ten billion, two hundred ten million, eleven thousand, one hundred twenty".