102200220023000 has 256 divisors, whose sum is σ = 266266858366080. Its totient is φ = 36402739200000.

The previous prime is 102200220022993. The next prime is 102200220023053. The reversal of 102200220023000 is 320022002201.

It is a super-2 number, since 2×102200220023000² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 161395004 + ... + 162026996.

Almost surely, 2^{102200220023000} is an apocalyptic number.

102200220023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200220023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133133429183040).

102200220023000 is an abundant number, since it is smaller than the sum of its proper divisors (164066638343080).

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

102200220023000 is a wasteful number, since it uses less digits than its factorization.

102200220023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632327 (or 632313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 102200220023000 its reverse (320022002201), we get a palindrome (102520242025201).

The spelling of 102200220023000 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, twenty-three thousand".