102000022011030 has 256 divisors, whose sum is σ = 290520232353792. Its totient is φ = 22593315840000.

The previous prime is 102000022011029. The next prime is 102000022011047. The reversal of 102000022011030 is 30110220000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000022010997 and 102000022011015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1788159310 + ... + 1788216350.

It is an arithmetic number, because the mean of its divisors is an integer number (1134844657632).

Almost surely, 2^{102000022011030} is an apocalyptic number.

102000022011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000022011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145260116176896).

102000022011030 is an abundant number, since it is smaller than the sum of its proper divisors (188520210342762).

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

102000022011030 is a wasteful number, since it uses less digits than its factorization.

102000022011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61303.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102000022011030 its reverse (30110220000201), we get a palindrome (132110242011231).

The spelling of 102000022011030 in words is "one hundred two trillion, twenty-two million, eleven thousand, thirty".