101102101221121 has 32 divisors (see below), whose sum is σ = 135748343808000. Its totient is φ = 72719257135680.

The previous prime is 101102101221091. The next prime is 101102101221133. The reversal of 101102101221121 is 121122101201101.

It is a cyclic number.

It is not a de Polignac number, because 101102101221121 - 2¹¹ = 101102101219073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102101221095 and 101102101221104.

It is not an unprimeable number, because it can be changed into a prime (101102101221161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47485780 + ... + 49569178.

It is an arithmetic number, because the mean of its divisors is an integer number (4242135744000).

Almost surely, 2^{101102101221121} is an apocalyptic number.

101102101221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102101221121 is a deficient number, since it is larger than the sum of its proper divisors (34646242586879).

101102101221121 is a wasteful number, since it uses less digits than its factorization.

101102101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131909.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101102101221121 its reverse (121122101201101), we get a palindrome (222224202422222).

The spelling of 101102101221121 in words is "one hundred one trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".