102202012000 has 384 divisors, whose sum is σ = 283071874176. Its totient is φ = 35942400000.

The previous prime is 102202011991. The next prime is 102202012001. The reversal of 102202012000 is 210202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326523844 + ... + 326524156.

It is an arithmetic number, because the mean of its divisors is an integer number (737166339).

Almost surely, 2^102202012000 is an apocalyptic number.

102202012000 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 102202012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141535937088).

102202012000 is an abundant number, since it is smaller than the sum of its proper divisors (180869862176).

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

102202012000 is a wasteful number, since it uses less digits than its factorization.

102202012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102202012000 its reverse (210202201), we get a palindrome (102412214201).

It can be divided in two parts, 10220201 and 2000, that added together give a palindrome (10222201).

The spelling of 102202012000 in words is "one hundred two billion, two hundred two million, twelve thousand".