102213002120000 has 140 divisors (see below), whose sum is σ = 262194857491380. Its totient is φ = 39475365888000.

The previous prime is 102213002119997. The next prime is 102213002120003. The reversal of 102213002120000 is 21200312201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102213002119997) and next prime (102213002120003).

It can be written as a sum of positive squares in 10 ways, for example, as 86131169753344 + 16081832366656 = 9280688^2 + 4010216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213002120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42897329 + ... + 45217328.

Almost surely, 2^{102213002120000} is an apocalyptic number.

102213002120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213002120000 is an abundant number, since it is smaller than the sum of its proper divisors (159981855371380).

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

102213002120000 is an frugal number, since it uses more digits than its factorization.

102213002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88114718 (or 88114693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102213002120000 its reverse (21200312201), we get a palindrome (102234202432201).

The spelling of 102213002120000 in words is "one hundred two trillion, two hundred thirteen billion, two million, one hundred twenty thousand".