101033011121 has 16 divisors (see below), whose sum is σ = 119256023040. Its totient is φ = 83760477840.

The previous prime is 101033011111. The next prime is 101033011129. The reversal of 101033011121 is 121110330101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101033011121 is a prime.

It is a super-2 number, since 2×101033011121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101033011096 and 101033011105.

It is not an unprimeable number, because it can be changed into a prime (101033011129) 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, 274760 + ... + 526838.

It is an arithmetic number, because the mean of its divisors is an integer number (7453501440).

Almost surely, 2^101033011121 is an apocalyptic number.

It is an amenable number.

101033011121 is a deficient number, since it is larger than the sum of its proper divisors (18223011919).

101033011121 is a wasteful number, since it uses less digits than its factorization.

101033011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253964.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101033011121 its reverse (121110330101), we get a palindrome (222143341222).

The spelling of 101033011121 in words is "one hundred one billion, thirty-three million, eleven thousand, one hundred twenty-one".