101320122121030 has 192 divisors, whose sum is σ = 206522282074752. Its totient is φ = 35657394094080.

The previous prime is 101320122121007. The next prime is 101320122121103. The reversal of 101320122121030 is 30121221023101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 101320122120989 and 101320122121007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1404048150 + ... + 1404120310.

It is an arithmetic number, because the mean of its divisors is an integer number (1075636885806).

Almost surely, 2^{101320122121030} is an apocalyptic number.

101320122121030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101320122121030 is an abundant number, since it is smaller than the sum of its proper divisors (105202159953722).

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

101320122121030 is a wasteful number, since it uses less digits than its factorization.

101320122121030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72527 (or 72508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101320122121030 its reverse (30121221023101), we get a palindrome (131441343144131).

The spelling of 101320122121030 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, thirty".