102214122010000 has 2025 divisors, whose sum is σ = 346062080107359. Its totient is φ = 29117088000000.

The previous prime is 102214122009973. The next prime is 102214122010003. The reversal of 102214122010000 is 10221412201.

The square root of 102214122010000 is 10110100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 101418515096976 + 795606913024 = 10070676^2 + 891968^2 .

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 (102214122010003) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1012021009950 + ... + 1012021010050.

Almost surely, 2^{102214122010000} is an apocalyptic number.

102214122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102214122010000 is the 10110100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102214122010000

102214122010000 is an abundant number, since it is smaller than the sum of its proper divisors (243847958097359).

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

102214122010000 is a wasteful number, since it uses less digits than its factorization.

102214122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 139 counting only the distinct ones).

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

102214122010000 divided by its sum of digits (16) gives a square (6388382625625 = 2527525²).

Adding to 102214122010000 its reverse (10221412201), we get a palindrome (102224343422201).

102214122010000 divided by its reverse (10221412201) gives a 4-th power (10000 = 10⁴).

The spelling of 102214122010000 in words is "one hundred two trillion, two hundred fourteen billion, one hundred twenty-two million, ten thousand".