101021121133101 has 12 divisors (see below), whose sum is σ = 157143966207228. Its totient is φ = 62166843774144.

The previous prime is 101021121133091. The next prime is 101021121133139. The reversal of 101021121133101 is 101331121120101.

101021121133101 is a `hidden beast` number, since 10 + 102 + 11 + 211 + 331 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15052064330601 + 85969056802500 = 3879699^2 + 9271950^2 .

It is not a de Polignac number, because 101021121133101 - 2³¹ = 101018973649453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021121133501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431714192760 + ... + 431714192993.

It is an arithmetic number, because the mean of its divisors is an integer number (13095330517269).

Almost surely, 2^{101021121133101} is an apocalyptic number.

It is an amenable number.

101021121133101 is a deficient number, since it is larger than the sum of its proper divisors (56122845074127).

101021121133101 is a wasteful number, since it uses less digits than its factorization.

101021121133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863428385772 (or 863428385769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101021121133101 its reverse (101331121120101), we get a palindrome (202352242253202).

The spelling of 101021121133101 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred one".