101020212010091 has 16 divisors (see below), whose sum is σ = 116004405840000. Its totient is φ = 87002802432000.

The previous prime is 101020212010087. The next prime is 101020212010093. The reversal of 101020212010091 is 190010212020101.

It is a cyclic number.

It is not a de Polignac number, because 101020212010091 - 2² = 101020212010087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020212010093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134534891 + ... + 135283691.

It is an arithmetic number, because the mean of its divisors is an integer number (7250275365000).

Almost surely, 2^{101020212010091} is an apocalyptic number.

101020212010091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101020212010091 is a deficient number, since it is larger than the sum of its proper divisors (14984193829909).

101020212010091 is a wasteful number, since it uses less digits than its factorization.

101020212010091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394330.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101020212010091 its reverse (190010212020101), we get a palindrome (291030424030192).

The spelling of 101020212010091 in words is "one hundred one trillion, twenty billion, two hundred twelve million, ten thousand, ninety-one".