101021331123 has 48 divisors (see below), whose sum is σ = 149302707840. Its totient is φ = 65805530112.

The previous prime is 101021331121. The next prime is 101021331143. The reversal of 101021331123 is 321133120101.

It is not a de Polignac number, because 101021331123 - 2¹ = 101021331121 is a prime.

It is a super-2 number, since 2×101021331123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021331096 and 101021331105.

It is not an unprimeable number, because it can be changed into a prime (101021331121) 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, 63815590 + ... + 63817172.

It is an arithmetic number, because the mean of its divisors is an integer number (3110473080).

Almost surely, 2^101021331123 is an apocalyptic number.

101021331123 is a deficient number, since it is larger than the sum of its proper divisors (48281376717).

101021331123 is a wasteful number, since it uses less digits than its factorization.

101021331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101021331123 its reverse (321133120101), we get a palindrome (422154451224).

The spelling of 101021331123 in words is "one hundred one billion, twenty-one million, three hundred thirty-one thousand, one hundred twenty-three".