10020100101111 has 48 divisors (see below), whose sum is σ = 14629909192704. Its totient is φ = 6608196447552.

The previous prime is 10020100101103. The next prime is 10020100101157. The reversal of 10020100101111 is 11110100102001.

It is not a de Polignac number, because 10020100101111 - 2³ = 10020100101103 is a prime.

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 = 10020100101093 and 10020100101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020100101161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772374621 + ... + 772387593.

It is an arithmetic number, because the mean of its divisors is an integer number (304789774848).

Almost surely, 2^{10020100101111} is an apocalyptic number.

10020100101111 is a deficient number, since it is larger than the sum of its proper divisors (4609809091593).

10020100101111 is a wasteful number, since it uses less digits than its factorization.

10020100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15017 counting only the distinct ones).

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

Adding to 10020100101111 its reverse (11110100102001), we get a palindrome (21130200203112).

The spelling of 10020100101111 in words is "ten trillion, twenty billion, one hundred million, one hundred one thousand, one hundred eleven".