101121020133 has 16 divisors (see below), whose sum is σ = 157672644096. Its totient is φ = 56439638640.

The previous prime is 101121020113. The next prime is 101121020153. The reversal of 101121020133 is 331020121101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101121020113) and next prime (101121020153).

It is not a de Polignac number, because 101121020133 - 2¹⁸ = 101120757989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55990803 + ... + 55992608.

It is an arithmetic number, because the mean of its divisors is an integer number (9854540256).

Almost surely, 2^101121020133 is an apocalyptic number.

It is an amenable number.

101121020133 is a deficient number, since it is larger than the sum of its proper divisors (56551623963).

101121020133 is a wasteful number, since it uses less digits than its factorization.

101121020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111983464.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101121020133 its reverse (331020121101), we get a palindrome (432141141234).

The spelling of 101121020133 in words is "one hundred one billion, one hundred twenty-one million, twenty thousand, one hundred thirty-three".