101011000010011 has 64 divisors (see below), whose sum is σ = 126728284870656. Its totient is φ = 78381289958400.

The previous prime is 101011000009973. The next prime is 101011000010101. The reversal of 101011000010011 is 110010000110101.

It is a happy number.

It is not a de Polignac number, because 101011000010011 - 2¹⁵ = 101010999977243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101011000009976 and 101011000010003.

It is not an unprimeable number, because it can be changed into a prime (101011000010411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3951749671 + ... + 3951775231.

It is an arithmetic number, because the mean of its divisors is an integer number (1980129451104).

Almost surely, 2^{101011000010011} is an apocalyptic number.

101011000010011 is a deficient number, since it is larger than the sum of its proper divisors (25717284860645).

101011000010011 is a wasteful number, since it uses less digits than its factorization.

101011000010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27692.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011000010011 its reverse (110010000110101), we get a palindrome (211021000120112).

The spelling of 101011000010011 in words is "one hundred one trillion, eleven billion, ten thousand, eleven".