102213120003000 has 256 divisors, whose sum is σ = 319820613840000. Its totient is φ = 27178647552000.

The previous prime is 102213120002953. The next prime is 102213120003047. The reversal of 102213120003000 is 300021312201.

It is an interprime number because it is at equal distance from previous prime (102213120002953) and next prime (102213120003047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2167299420 + ... + 2167346580.

Almost surely, 2^{102213120003000} is an apocalyptic number.

102213120003000 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 102213120003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159910306920000).

102213120003000 is an abundant number, since it is smaller than the sum of its proper divisors (217607493837000).

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

102213120003000 is a wasteful number, since it uses less digits than its factorization.

102213120003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49243 (or 49229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102213120003000 its reverse (300021312201), we get a palindrome (102513141315201).

The spelling of 102213120003000 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty million, three thousand".