101051106101 has 16 divisors (see below), whose sum is σ = 111951201600. Its totient is φ = 90446784000.

The previous prime is 101051106067. The next prime is 101051106113. The reversal of 101051106101 is 101601150101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101051106101 is a prime.

It is a super-2 number, since 2×101051106101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101051106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051106601) 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, 55196 + ... + 452933.

It is an arithmetic number, because the mean of its divisors is an integer number (6996950100).

Almost surely, 2^101051106101 is an apocalyptic number.

101051106101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101051106101 is a deficient number, since it is larger than the sum of its proper divisors (10900095499).

101051106101 is a wasteful number, since it uses less digits than its factorization.

101051106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508420.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101051106101 its reverse (101601150101), we get a palindrome (202652256202).

The spelling of 101051106101 in words is "one hundred one billion, fifty-one million, one hundred six thousand, one hundred one".