1021101001011 has 96 divisors (see below), whose sum is σ = 1935406126080. Its totient is φ = 527142676032.

The previous prime is 1021101001003. The next prime is 1021101001027. The reversal of 1021101001011 is 1101001011201.

It is not a de Polignac number, because 1021101001011 - 2³ = 1021101001003 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 = 1021101000984 and 1021101001002.

It is not an unprimeable number, because it can be changed into a prime (1021101005011) 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, 176760 + ... + 1439946.

It is an arithmetic number, because the mean of its divisors is an integer number (20160480480).

Almost surely, 2^{1021101001011} is an apocalyptic number.

1021101001011 is a deficient number, since it is larger than the sum of its proper divisors (914305125069).

1021101001011 is a wasteful number, since it uses less digits than its factorization.

1021101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263270 (or 1263257 counting only the distinct ones).

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

Adding to 1021101001011 its reverse (1101001011201), we get a palindrome (2122102012212).

The spelling of 1021101001011 in words is "one trillion, twenty-one billion, one hundred one million, one thousand, eleven".