101120021101 has 16 divisors (see below), whose sum is σ = 111063052800. Its totient is φ = 91303284400.

The previous prime is 101120021099. The next prime is 101120021141.

101120021101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101120021101 - 2¹ = 101120021099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120021141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621386 + ... + 1682596.

It is an arithmetic number, because the mean of its divisors is an integer number (6941440800).

Almost surely, 2^101120021101 is an apocalyptic number.

101120021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101120021101 is a deficient number, since it is larger than the sum of its proper divisors (9943031699).

101120021101 is a wasteful number, since it uses less digits than its factorization.

101120021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62240.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1011200 and 21101, that added together give a palindrome (1032301).

The spelling of 101120021101 in words is "one hundred one billion, one hundred twenty million, twenty-one thousand, one hundred one".