1021100101011 has 24 divisors (see below), whose sum is σ = 1515700373616. Its totient is φ = 662048674560.

The previous prime is 1021100101009. The next prime is 1021100101013. The reversal of 1021100101011 is 1101010011201.

It is an interprime number because it is at equal distance from previous prime (1021100101009) and next prime (1021100101013).

It is not a de Polignac number, because 1021100101011 - 2¹ = 1021100101009 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 = 1021100100984 and 1021100101002.

It is not an unprimeable number, because it can be changed into a prime (1021100101013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5571850 + ... + 5752191.

It is an arithmetic number, because the mean of its divisors is an integer number (63154182234).

Almost surely, 2^{1021100101011} is an apocalyptic number.

1021100101011 is a deficient number, since it is larger than the sum of its proper divisors (494600272605).

1021100101011 is a wasteful number, since it uses less digits than its factorization.

1021100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324323 (or 11324320 counting only the distinct ones).

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

Adding to 1021100101011 its reverse (1101010011201), we get a palindrome (2122110112212).

The spelling of 1021100101011 in words is "one trillion, twenty-one billion, one hundred million, one hundred one thousand, eleven".