101120011201121 has 16 divisors (see below), whose sum is σ = 110726165687040. Its totient is φ = 91582781713920.

The previous prime is 101120011201109. The next prime is 101120011201123. The reversal of 101120011201121 is 121102110021101.

It is a cyclic number.

It is not a de Polignac number, because 101120011201121 - 2⁶ = 101120011201057 is a prime.

It is a super-2 number, since 2×101120011201121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120011201096 and 101120011201105.

It is not an unprimeable number, because it can be changed into a prime (101120011201123) 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, 100915256 + ... + 101912358.

It is an arithmetic number, because the mean of its divisors is an integer number (6920385355440).

Almost surely, 2^{101120011201121} is an apocalyptic number.

101120011201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101120011201121 is a deficient number, since it is larger than the sum of its proper divisors (9606154485919).

101120011201121 is a wasteful number, since it uses less digits than its factorization.

101120011201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031656.

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

Adding to 101120011201121 its reverse (121102110021101), we get a palindrome (222222121222222).

The spelling of 101120011201121 in words is "one hundred one trillion, one hundred twenty billion, eleven million, two hundred one thousand, one hundred twenty-one".