10211002113 has 16 divisors (see below), whose sum is σ = 14664358016. Its totient is φ = 6282662400.

The previous prime is 10211002091. The next prime is 10211002121. The reversal of 10211002113 is 31120011201.

It is not a de Polignac number, because 10211002113 - 2¹³ = 10210993921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211002013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268881 + ... + 304497.

It is an arithmetic number, because the mean of its divisors is an integer number (916522376).

Almost surely, 2^10211002113 is an apocalyptic number.

10211002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10211002113 is a deficient number, since it is larger than the sum of its proper divisors (4453355903).

10211002113 is a wasteful number, since it uses less digits than its factorization.

10211002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42984.

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

Adding to 10211002113 its reverse (31120011201), we get a palindrome (41331013314).

The spelling of 10211002113 in words is "ten billion, two hundred eleven million, two thousand, one hundred thirteen".