101012001111 has 72 divisors (see below), whose sum is σ = 172789853184. Its totient is φ = 55691909280.

The previous prime is 101012001091. The next prime is 101012001113. The reversal of 101012001111 is 111100210101.

It is not a de Polignac number, because 101012001111 - 2⁶ = 101012001047 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 = 101012001093 and 101012001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012001113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9875746 + ... + 9885968.

It is an arithmetic number, because the mean of its divisors is an integer number (2399859072).

Almost surely, 2^101012001111 is an apocalyptic number.

101012001111 is a deficient number, since it is larger than the sum of its proper divisors (71777852073).

101012001111 is a wasteful number, since it uses less digits than its factorization.

101012001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10401 (or 10351 counting only the distinct ones).

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

Adding to 101012001111 its reverse (111100210101), we get a palindrome (212112211212).

The spelling of 101012001111 in words is "one hundred one billion, twelve million, one thousand, one hundred eleven".