10210110011001 has 6 divisors (see below), whose sum is σ = 14747936682570. Its totient is φ = 6806740007328.

The previous prime is 10210110010927. The next prime is 10210110011047. The reversal of 10210110011001 is 10011001101201.

It can be written as a sum of positive squares in only one way, i.e., 6101072901225 + 4109037109776 = 2470035^2 + 2027076^2 .

It is not a de Polignac number, because 10210110011001 - 2⁷ = 10210110010873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1134456667889 = 10210110011001 / (1 + 0 + 2 + 1 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10210110018001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567228333936 + ... + 567228333953.

It is an arithmetic number, because the mean of its divisors is an integer number (2457989447095).

Almost surely, 2^{10210110011001} is an apocalyptic number.

It is an amenable number.

10210110011001 is a deficient number, since it is larger than the sum of its proper divisors (4537826671569).

10210110011001 is a wasteful number, since it uses less digits than its factorization.

10210110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134456667895 (or 1134456667892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10210110011001 its reverse (10011001101201), we get a palindrome (20221111112202).

The spelling of 10210110011001 in words is "ten trillion, two hundred ten billion, one hundred ten million, eleven thousand, one".