101121100201101 has 16 divisors (see below), whose sum is σ = 143634283107840. Its totient is φ = 63096488645040.

The previous prime is 101121100201061. The next prime is 101121100201117. The reversal of 101121100201101 is 101102001121101.

It is a de Polignac number, because none of the positive numbers 2^k-101121100201101 is a prime.

It is a super-2 number, since 2×101121100201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121100201151) 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, 10687069905 + ... + 10687079366.

It is an arithmetic number, because the mean of its divisors is an integer number (8977142694240).

Almost surely, 2^{101121100201101} is an apocalyptic number.

It is an amenable number.

101121100201101 is a deficient number, since it is larger than the sum of its proper divisors (42513182906739).

101121100201101 is a wasteful number, since it uses less digits than its factorization.

101121100201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374149376.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101121100201101 its reverse (101102001121101), we get a palindrome (202223101322202).

The spelling of 101121100201101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred one thousand, one hundred one".