101011010001121 has 48 divisors (see below), whose sum is σ = 122045804794368. Its totient is φ = 82616962982400.

The previous prime is 101011010001067. The next prime is 101011010001157. The reversal of 101011010001121 is 121100010110101.

It is not a de Polignac number, because 101011010001121 - 2⁷ = 101011010000993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011010001098 and 101011010001107.

It is not an unprimeable number, because it can be changed into a prime (101011010301121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157660336 + ... + 158299726.

It is an arithmetic number, because the mean of its divisors is an integer number (2542620933216).

Almost surely, 2^{101011010001121} is an apocalyptic number.

101011010001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011010001121 is a deficient number, since it is larger than the sum of its proper divisors (21034794793247).

101011010001121 is a wasteful number, since it uses less digits than its factorization.

101011010001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641062 (or 641039 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011010001121 its reverse (121100010110101), we get a palindrome (222111020111222).

The spelling of 101011010001121 in words is "one hundred one trillion, eleven billion, ten million, one thousand, one hundred twenty-one".