10012000101111 has 24 divisors (see below), whose sum is σ = 14526988554000. Its totient is φ = 6644577785472.

The previous prime is 10012000101091. The next prime is 10012000101119. The reversal of 10012000101111 is 11110100021001.

It is not a de Polignac number, because 10012000101111 - 2³⁴ = 9994820231927 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 = 10012000101093 and 10012000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012000101119) 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, 14352160 + ... + 15033578.

It is an arithmetic number, because the mean of its divisors is an integer number (605291189750).

Almost surely, 2^{10012000101111} is an apocalyptic number.

10012000101111 is a deficient number, since it is larger than the sum of its proper divisors (4514988452889).

10012000101111 is a wasteful number, since it uses less digits than its factorization.

10012000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688783 (or 688780 counting only the distinct ones).

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

Adding to 10012000101111 its reverse (11110100021001), we get a palindrome (21122100122112).

The spelling of 10012000101111 in words is "ten trillion, twelve billion, one hundred one thousand, one hundred eleven".