102011010001011 has 32 divisors (see below), whose sum is σ = 159140571456000. Its totient is φ = 64404081193824.

The previous prime is 102011010001003. The next prime is 102011010001079. The reversal of 102011010001011 is 110100010110201.

It is not a de Polignac number, because 102011010001011 - 2³ = 102011010001003 is a prime.

It is a super-2 number, since 2×102011010001011² (a number of 29 digits) contains 22 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 = 102011010000984 and 102011010001002.

It is not an unprimeable number, because it can be changed into a prime (102011010041011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35538631 + ... + 38301648.

It is an arithmetic number, because the mean of its divisors is an integer number (4973142858000).

Almost surely, 2^{102011010001011} is an apocalyptic number.

102011010001011 is a deficient number, since it is larger than the sum of its proper divisors (57129561454989).

102011010001011 is a wasteful number, since it uses less digits than its factorization.

102011010001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73843000 (or 73842994 counting only the distinct ones).

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

Adding to 102011010001011 its reverse (110100010110201), we get a palindrome (212111020111212).

The spelling of 102011010001011 in words is "one hundred two trillion, eleven billion, ten million, one thousand, eleven".