102212110240000 has 360 divisors, whose sum is σ = 256672998067640. Its totient is φ = 40609382400000.

The previous prime is 102212110239971. The next prime is 102212110240001. The reversal of 102212110240000 is 42011212201.

It can be written as a sum of positive squares in 20 ways, for example, as 53141300676864 + 49070809563136 = 7289808^2 + 7005056^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102212110240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15771036760 + ... + 15771043240.

Almost surely, 2^{102212110240000} is an apocalyptic number.

102212110240000 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 102212110240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128336499033820).

102212110240000 is an abundant number, since it is smaller than the sum of its proper divisors (154460887827640).

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

102212110240000 is an frugal number, since it uses more digits than its factorization.

102212110240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212110240000 its reverse (42011212201), we get a palindrome (102254121452201).

It can be divided in two parts, 1022121 and 10240000, that multiplied together give a square (10466519040000 = 3235200²).

The spelling of 102212110240000 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, two hundred forty thousand".