101111220100121 has 16 divisors (see below), whose sum is σ = 127836245357568. Its totient is φ = 77678274080400.

The previous prime is 101111220100091. The next prime is 101111220100127. The reversal of 101111220100121 is 121001022111101.

It is not a de Polignac number, because 101111220100121 - 2⁶ = 101111220100057 is a prime.

It is a super-2 number, since 2×101111220100121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111220100096 and 101111220100105.

It is not an unprimeable number, because it can be changed into a prime (101111220100127) 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, 9247408115 + ... + 9247419048.

It is an arithmetic number, because the mean of its divisors is an integer number (7989765334848).

Almost surely, 2^{101111220100121} is an apocalyptic number.

101111220100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111220100121 is a deficient number, since it is larger than the sum of its proper divisors (26725025257447).

101111220100121 is a wasteful number, since it uses less digits than its factorization.

101111220100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494827252.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111220100121 its reverse (121001022111101), we get a palindrome (222112242211222).

The spelling of 101111220100121 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty million, one hundred thousand, one hundred twenty-one".