101102011001021 has 4 divisors (see below), whose sum is σ = 103253117618112. Its totient is φ = 98950904383932.

The previous prime is 101102011000973. The next prime is 101102011001059. The reversal of 101102011001021 is 120100110201101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102011001021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101102011000993 and 101102011001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102011004021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1075553308475 + ... + 1075553308568.

It is an arithmetic number, because the mean of its divisors is an integer number (25813279404528).

Almost surely, 2^{101102011001021} is an apocalyptic number.

It is an amenable number.

101102011001021 is a deficient number, since it is larger than the sum of its proper divisors (2151106617091).

101102011001021 is an equidigital number, since it uses as much as digits as its factorization.

101102011001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151106617090.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102011001021 its reverse (120100110201101), we get a palindrome (221202121202122).

The spelling of 101102011001021 in words is "one hundred one trillion, one hundred two billion, eleven million, one thousand, twenty-one".