101131221123030 has 64 divisors (see below), whose sum is σ = 277391030128128. Its totient is φ = 23115496193280.

The previous prime is 101131221123017. The next prime is 101131221123083. The reversal of 101131221123030 is 30321122131101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101131221122988 and 101131221123006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21405165 + ... + 25699095.

It is an arithmetic number, because the mean of its divisors is an integer number (4334234845752).

Almost surely, 2^{101131221123030} is an apocalyptic number.

101131221123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101131221123030 is an abundant number, since it is smaller than the sum of its proper divisors (176259809005098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101131221123030 is a wasteful number, since it uses less digits than its factorization.

101131221123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406101.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101131221123030 its reverse (30321122131101), we get a palindrome (131452343254131).

The spelling of 101131221123030 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-three thousand, thirty".