101021100112023 has 256 divisors, whose sum is σ = 179663339520000. Its totient is φ = 50061880382976.

The previous prime is 101021100112007. The next prime is 101021100112027. The reversal of 101021100112023 is 320211001120101.

It is not a de Polignac number, because 101021100112023 - 2⁴ = 101021100112007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021100111993 and 101021100112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021100112027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35088953098 + ... + 35088955976.

It is an arithmetic number, because the mean of its divisors is an integer number (701809920000).

Almost surely, 2^{101021100112023} is an apocalyptic number.

101021100112023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101021100112023 is a deficient number, since it is larger than the sum of its proper divisors (78642239407977).

101021100112023 is a wasteful number, since it uses less digits than its factorization.

101021100112023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101021100112023 its reverse (320211001120101), we get a palindrome (421232101232124).

The spelling of 101021100112023 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred twelve thousand, twenty-three".