10202001010011 has 24 divisors (see below), whose sum is σ = 14767248918240. Its totient is φ = 6787029469056.

The previous prime is 10202001009983. The next prime is 10202001010079. The reversal of 10202001010011 is 11001010020201.

It is a happy number.

It is not a de Polignac number, because 10202001010011 - 2⁶ = 10202001009947 is a prime.

It is a super-3 number, since 3×10202001010011³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10202001009975 and 10202001010002.

It is not an unprimeable number, because it can be changed into a prime (10202001010081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7667641 + ... + 8899253.

It is an arithmetic number, because the mean of its divisors is an integer number (615302038260).

Almost surely, 2^{10202001010011} is an apocalyptic number.

10202001010011 is a deficient number, since it is larger than the sum of its proper divisors (4565247908229).

10202001010011 is a wasteful number, since it uses less digits than its factorization.

10202001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233555 (or 1233552 counting only the distinct ones).

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

Adding to 10202001010011 its reverse (11001010020201), we get a palindrome (21203011030212).

The spelling of 10202001010011 in words is "ten trillion, two hundred two billion, one million, ten thousand, eleven".