1000101022011 has 96 divisors (see below), whose sum is σ = 1965292822080. Its totient is φ = 496494738432.

The previous prime is 1000101021979. The next prime is 1000101022027. The reversal of 1000101022011 is 1102201010001.

It is a happy number.

It is not a de Polignac number, because 1000101022011 - 2⁵ = 1000101021979 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 = 1000101021984 and 1000101022002.

It is not an unprimeable number, because it can be changed into a prime (1000101022091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417876 + ... + 2002641.

It is an arithmetic number, because the mean of its divisors is an integer number (20471800230).

Almost surely, 2^{1000101022011} is an apocalyptic number.

1000101022011 is a deficient number, since it is larger than the sum of its proper divisors (965191800069).

1000101022011 is a wasteful number, since it uses less digits than its factorization.

1000101022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420570 (or 3420557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000101022011 its reverse (1102201010001), we get a palindrome (2102302032012).

The spelling of 1000101022011 in words is "one trillion, one hundred one million, twenty-two thousand, eleven".